706796474536320 has 768 divisors, whose sum is σ = 2759091039993600. Its totient is φ = 153027301883904.

The previous prime is 706796474536319. The next prime is 706796474536333. The reversal of 706796474536320 is 23635474697607.

It is a super-2 number, since 2×706796474536320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13365260599 + ... + 13365313481.

It is an arithmetic number, because the mean of its divisors is an integer number (3592566458325).

Almost surely, 2^{706796474536320} is an apocalyptic number.

706796474536320 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 706796474536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379545519996800).

706796474536320 is an abundant number, since it is smaller than the sum of its proper divisors (2052294565457280).

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

706796474536320 is a wasteful number, since it uses less digits than its factorization.

706796474536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60415 (or 60396 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 69.

The spelling of 706796474536320 in words is "seven hundred six trillion, seven hundred ninety-six billion, four hundred seventy-four million, five hundred thirty-six thousand, three hundred twenty".