56464830072 has 192 divisors, whose sum is σ = 178828316160. Its totient is φ = 15761952000.

The previous prime is 56464830067. The next prime is 56464830101. The reversal of 56464830072 is 27003846465.

56464830072 is a `hidden beast` number, since 564 + 6 + 4 + 83 + 0 + 0 + 7 + 2 = 666.

56464830072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4636263 + ... + 4648425.

It is an arithmetic number, because the mean of its divisors is an integer number (931397480).

Almost surely, 2^56464830072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56464830072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89414158080).

56464830072 is an abundant number, since it is smaller than the sum of its proper divisors (122363486088).

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

56464830072 is a wasteful number, since it uses less digits than its factorization.

56464830072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12394 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56464830072 in words is "fifty-six billion, four hundred sixty-four million, eight hundred thirty thousand, seventy-two".