56354672640 has 312 divisors, whose sum is σ = 209762991360. Its totient is φ = 12880379904.

The previous prime is 56354672623. The next prime is 56354672653. The reversal of 56354672640 is 4627645365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56354672640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001201 + ... + 3019919.

It is an arithmetic number, because the mean of its divisors is an integer number (672317280).

Almost surely, 2^56354672640 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 56354672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104881495680).

56354672640 is an abundant number, since it is smaller than the sum of its proper divisors (153408318720).

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

56354672640 is a wasteful number, since it uses less digits than its factorization.

56354672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18765 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 56354672640 in words is "fifty-six billion, three hundred fifty-four million, six hundred seventy-two thousand, six hundred forty".