56672441280 has 672 divisors, whose sum is σ = 242401880448. Its totient is φ = 11833344000.

The previous prime is 56672441257. The next prime is 56672441333. The reversal of 56672441280 is 8214427665.

56672441280 is a `hidden beast` number, since 5 + 66 + 72 + 441 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26469010 + ... + 26471150.

It is an arithmetic number, because the mean of its divisors is an integer number (360717084).

Almost surely, 2^56672441280 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 56672441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121200940224).

56672441280 is an abundant number, since it is smaller than the sum of its proper divisors (185729439168).

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

56672441280 is a wasteful number, since it uses less digits than its factorization.

56672441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 56672441280 in words is "fifty-six billion, six hundred seventy-two million, four hundred forty-one thousand, two hundred eighty".