56723624455680 has 5120 divisors, whose sum is σ = 274964801126400. Its totient is φ = 10749542400000.

The previous prime is 56723624455669. The next prime is 56723624455819. The reversal of 56723624455680 is 8655442632765.

56723624455680 is a `hidden beast` number, since 5 + 6 + 7 + 2 + 3 + 6 + 24 + 45 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 225990535555 + ... + 225990535805.

It is an arithmetic number, because the mean of its divisors is an integer number (53704062720).

Almost surely, 2^{56723624455680} 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 56723624455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137482400563200).

56723624455680 is an abundant number, since it is smaller than the sum of its proper divisors (218241176670720).

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

56723624455680 is a wasteful number, since it uses less digits than its factorization.

56723624455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 56723624455680 in words is "fifty-six trillion, seven hundred twenty-three billion, six hundred twenty-four million, four hundred fifty-five thousand, six hundred eighty".