696960013824 has 240 divisors, whose sum is σ = 2156774368320. Its totient is φ = 215884431360.

The previous prime is 696960013811. The next prime is 696960013843. The reversal of 696960013824 is 428310069696.

696960013824 is a `hidden beast` number, since 6 + 9 + 6 + 9 + 600 + 1 + 3 + 8 + 24 = 666.

It is a super-2 number, since 2×696960013824² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6132234 + ... + 6244854.

It is an arithmetic number, because the mean of its divisors is an integer number (8986559868).

Almost surely, 2^696960013824 is an apocalyptic number.

696960013824 is a gapful number since it is divisible by the number (64) 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 696960013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078387184160).

696960013824 is an abundant number, since it is smaller than the sum of its proper divisors (1459814354496).

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

696960013824 is a wasteful number, since it uses less digits than its factorization.

696960013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112741 (or 112722 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 696960013824 in words is "six hundred ninety-six billion, nine hundred sixty million, thirteen thousand, eight hundred twenty-four".