56745152640 has 640 divisors, whose sum is σ = 222653629440. Its totient is φ = 13658112000.

The previous prime is 56745152623. The next prime is 56745152641. The reversal of 56745152640 is 4625154765.

56745152640 is a `hidden beast` number, since 5 + 6 + 74 + 51 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (56745152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108915580 + ... + 108916100.

It is an arithmetic number, because the mean of its divisors is an integer number (347896296).

Almost surely, 2^56745152640 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 56745152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111326814720).

56745152640 is an abundant number, since it is smaller than the sum of its proper divisors (165908476800).

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

56745152640 is a wasteful number, since it uses less digits than its factorization.

56745152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 56745152640 in words is "fifty-six billion, seven hundred forty-five million, one hundred fifty-two thousand, six hundred forty".