700379864132256 has 6912 divisors, whose sum is σ = 2991823091712000. Its totient is φ = 154023922483200.

The previous prime is 700379864132251. The next prime is 700379864132257. The reversal of 700379864132256 is 652231468973007.

It is a happy number.

700379864132256 is a `hidden beast` number, since 7 + 0 + 0 + 3 + 79 + 86 + 413 + 22 + 56 = 666.

700379864132256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 700379864132193 and 700379864132202.

It is not an unprimeable number, because it can be changed into a prime (700379864132251) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 11870845154755 + ... + 11870845154813.

It is an arithmetic number, because the mean of its divisors is an integer number (432844776000).

It is a 1-persistent number, because it is pandigital, but 2⋅700379864132256 = 1400759728264512 is not.

Almost surely, 2^{700379864132256} is an apocalyptic number.

700379864132256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700379864132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495911545856000).

700379864132256 is an abundant number, since it is smaller than the sum of its proper divisors (2291443227579744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

700379864132256 is a wasteful number, since it uses less digits than its factorization.

700379864132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 700379864132256 in words is "seven hundred trillion, three hundred seventy-nine billion, eight hundred sixty-four million, one hundred thirty-two thousand, two hundred fifty-six".