56628260640 has 576 divisors, whose sum is σ = 225833287680. Its totient is φ = 12654766080.

The previous prime is 56628260639. The next prime is 56628260641. The reversal of 56628260640 is 4606282665.

56628260640 is a `hidden beast` number, since 566 + 2 + 8 + 26 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56628260639) and next prime (56628260641).

It is a super-2 number, since 2×56628260640² (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 not an unprimeable number, because it can be changed into a prime (56628260641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128993541 + ... + 128993979.

It is an arithmetic number, because the mean of its divisors is an integer number (392071680).

Almost surely, 2^56628260640 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 56628260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112916643840).

56628260640 is an abundant number, since it is smaller than the sum of its proper divisors (169205027040).

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

56628260640 is a wasteful number, since it uses less digits than its factorization.

56628260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56628260640 in words is "fifty-six billion, six hundred twenty-eight million, two hundred sixty thousand, six hundred forty".