56465360640 has 864 divisors, whose sum is σ = 223115518080. Its totient is φ = 13157793792.

The previous prime is 56465360591. The next prime is 56465360647. The reversal of 56465360640 is 4606356465.

56465360640 is a `hidden beast` number, since 56 + 4 + 6 + 536 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×56465360640² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56465360647) 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 95 ways as a sum of consecutive naturals, for example, 582117072 + ... + 582117168.

Almost surely, 2^56465360640 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 56465360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111557759040).

56465360640 is an abundant number, since it is smaller than the sum of its proper divisors (166650157440).

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

56465360640 is a wasteful number, since it uses less digits than its factorization.

56465360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 56465360640 in words is "fifty-six billion, four hundred sixty-five million, three hundred sixty thousand, six hundred forty".