701162268468480 has 2880 divisors, whose sum is σ = 3136964543032320. Its totient is φ = 145594095501312.

The previous prime is 701162268468439. The next prime is 701162268468481. The reversal of 701162268468480 is 84864862261107.

It is a happy number.

701162268468480 is a `hidden beast` number, since 7 + 0 + 1 + 16 + 2 + 2 + 6 + 84 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×701162268468480³ (a number of 46 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701162268468481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 449751293941 + ... + 449751295499.

It is an arithmetic number, because the mean of its divisors is an integer number (1089223799664).

Almost surely, 2^{701162268468480} is an apocalyptic number.

701162268468480 is a gapful number since it is divisible by the number (70) 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 701162268468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568482271516160).

701162268468480 is an abundant number, since it is smaller than the sum of its proper divisors (2435802274563840).

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

701162268468480 is a wasteful number, since it uses less digits than its factorization.

701162268468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 701162268468480 in words is "seven hundred one trillion, one hundred sixty-two billion, two hundred sixty-eight million, four hundred sixty-eight thousand, four hundred eighty".