56674074240 has 576 divisors, whose sum is σ = 229798001160. Its totient is φ = 12832210944.

The previous prime is 56674074227. The next prime is 56674074287. The reversal of 56674074240 is 4247047665.

56674074240 is a `hidden beast` number, since 566 + 7 + 4 + 0 + 7 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28280476224 + 28393598016 = 168168^2 + 168504^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×56674074240² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31892232 + ... + 31894008.

Almost surely, 2^56674074240 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 56674074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114899000580).

56674074240 is an abundant number, since it is smaller than the sum of its proper divisors (173123926920).

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

56674074240 is a wasteful number, since it uses less digits than its factorization.

56674074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 56674074240 in words is "fifty-six billion, six hundred seventy-four million, seventy-four thousand, two hundred forty".