296413772880960 has 336 divisors, whose sum is σ = 1216405501672320. Its totient is φ = 67751719418880.

The previous prime is 296413772880931. The next prime is 296413772880961. The reversal of 296413772880960 is 69088277314692.

296413772880960 is a `hidden beast` number, since 2 + 9 + 6 + 413 + 7 + 72 + 8 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×296413772880960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (296413772880961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349649596 + ... + 350496315.

Almost surely, 2^{296413772880960} is an apocalyptic number.

296413772880960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296413772880960 is an abundant number, since it is smaller than the sum of its proper divisors (919991728791360).

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

296413772880960 is a wasteful number, since it uses less digits than its factorization.

296413772880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700145951 (or 700145928 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 296413772880960 in words is "two hundred ninety-six trillion, four hundred thirteen billion, seven hundred seventy-two million, eight hundred eighty thousand, nine hundred sixty".