56641613688 has 512 divisors, whose sum is σ = 186354432000. Its totient is φ = 15765995520.

The previous prime is 56641613687. The next prime is 56641613689. The reversal of 56641613688 is 88631614665.

56641613688 is a `hidden beast` number, since 566 + 4 + 1 + 6 + 13 + 68 + 8 = 666.

56641613688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56641613687) and next prime (56641613689).

It is a super-2 number, since 2×56641613688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56641613681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220395256 + ... + 220395512.

It is an arithmetic number, because the mean of its divisors is an integer number (363973500).

Almost surely, 2^56641613688 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 56641613688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93177216000).

56641613688 is an abundant number, since it is smaller than the sum of its proper divisors (129712818312).

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

56641613688 is a wasteful number, since it uses less digits than its factorization.

56641613688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 56641613688 in words is "fifty-six billion, six hundred forty-one million, six hundred thirteen thousand, six hundred eighty-eight".