56346237360 has 1440 divisors, whose sum is σ = 250935939072. Its totient is φ = 11488573440.

The previous prime is 56346237253. The next prime is 56346237403. The reversal of 56346237360 is 6373264365.

56346237360 is a `hidden beast` number, since 5 + 63 + 462 + 3 + 73 + 60 = 666.

It is a super-3 number, since 3×56346237360³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1522871262 + ... + 1522871298.

Almost surely, 2^56346237360 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 56346237360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125467969536).

56346237360 is an abundant number, since it is smaller than the sum of its proper divisors (194589701712).

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

56346237360 is a wasteful number, since it uses less digits than its factorization.

56346237360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 56346237360 in words is "fifty-six billion, three hundred forty-six million, two hundred thirty-seven thousand, three hundred sixty".