56364126840 has 384 divisors, whose sum is σ = 218865254400. Its totient is φ = 12308474880.

The previous prime is 56364126779. The next prime is 56364126857. The reversal of 56364126840 is 4862146365.

56364126840 is a `hidden beast` number, since 5 + 636 + 4 + 1 + 2 + 6 + 8 + 4 + 0 = 666.

It is a super-4 number, since 4×56364126840⁴ (a number of 44 digits) contains 4444 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6166914 + ... + 6176046.

It is an arithmetic number, because the mean of its divisors is an integer number (569961600).

Almost surely, 2^56364126840 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 56364126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109432627200).

56364126840 is an abundant number, since it is smaller than the sum of its proper divisors (162501127560).

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

56364126840 is a wasteful number, since it uses less digits than its factorization.

56364126840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9260 counting only the distinct ones).

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

The spelling of 56364126840 in words is "fifty-six billion, three hundred sixty-four million, one hundred twenty-six thousand, eight hundred forty".