56967492456 has 320 divisors, whose sum is σ = 193730486400. Its totient is φ = 15267667968.

The previous prime is 56967492443. The next prime is 56967492503. The reversal of 56967492456 is 65429476965.

56967492456 is a `hidden beast` number, since 5 + 6 + 96 + 7 + 4 + 92 + 456 = 666.

56967492456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 56967492393 and 56967492402.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26756800 + ... + 26758928.

It is an arithmetic number, because the mean of its divisors is an integer number (605407770).

Almost surely, 2^56967492456 is an apocalyptic number.

56967492456 is a gapful number since it is divisible by the number (56) 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 56967492456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96865243200).

56967492456 is an abundant number, since it is smaller than the sum of its proper divisors (136762993944).

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

56967492456 is a wasteful number, since it uses less digits than its factorization.

56967492456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2505 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 56967492456 in words is "fifty-six billion, nine hundred sixty-seven million, four hundred ninety-two thousand, four hundred fifty-six".