56640153240 has 288 divisors, whose sum is σ = 214241358240. Its totient is φ = 12923074560.

The previous prime is 56640153217. The next prime is 56640153247. The reversal of 56640153240 is 4235104665.

56640153240 is a `hidden beast` number, since 5 + 6 + 6 + 401 + 5 + 3 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56640153195 and 56640153204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56640153247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702277 + ... + 778763.

It is an arithmetic number, because the mean of its divisors is an integer number (743893605).

Almost surely, 2^56640153240 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 56640153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107120679120).

56640153240 is an abundant number, since it is smaller than the sum of its proper divisors (157601205000).

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

56640153240 is a wasteful number, since it uses less digits than its factorization.

56640153240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76543 (or 76525 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56640153240 in words is "fifty-six billion, six hundred forty million, one hundred fifty-three thousand, two hundred forty".