56565434640 has 640 divisors, whose sum is σ = 215666196480. Its totient is φ = 12076646400.

The previous prime is 56565434587. The next prime is 56565434659. The reversal of 56565434640 is 4643456565.

It is a super-2 number, since 2×56565434640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56565434640.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84049344 + ... + 84050016.

It is an arithmetic number, because the mean of its divisors is an integer number (336978432).

Almost surely, 2^56565434640 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 56565434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107833098240).

56565434640 is an abundant number, since it is smaller than the sum of its proper divisors (159100761840).

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

56565434640 is a wasteful number, since it uses less digits than its factorization.

56565434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 56565434640 in words is "fifty-six billion, five hundred sixty-five million, four hundred thirty-four thousand, six hundred forty".