56364340536 has 480 divisors, whose sum is σ = 189496454400. Its totient is φ = 15599122560.

The previous prime is 56364340517. The next prime is 56364340547. The reversal of 56364340536 is 63504346365.

56364340536 is a `hidden beast` number, since 5 + 6 + 36 + 43 + 40 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56364340491 and 56364340500.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 267129471 + ... + 267129681.

It is an arithmetic number, because the mean of its divisors is an integer number (394784280).

Almost surely, 2^56364340536 is an apocalyptic number.

56364340536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56364340536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94748227200).

56364340536 is an abundant number, since it is smaller than the sum of its proper divisors (133132113864).

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

56364340536 is a wasteful number, since it uses less digits than its factorization.

56364340536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

It can be divided in two parts, 56364 and 340536, that added together give a square (396900 = 630²).

The spelling of 56364340536 in words is "fifty-six billion, three hundred sixty-four million, three hundred forty thousand, five hundred thirty-six".