56768229463680 has 1536 divisors, whose sum is σ = 249149841408000. Its totient is φ = 11616043106304.

The previous prime is 56768229463663. The next prime is 56768229463769. The reversal of 56768229463680 is 8636492286765.

56768229463680 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 82 + 2 + 9 + 463 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56768229463599 and 56768229463608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044139857 + ... + 1044194223.

It is an arithmetic number, because the mean of its divisors is an integer number (162206928000).

Almost surely, 2^{56768229463680} 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 56768229463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124574920704000).

56768229463680 is an abundant number, since it is smaller than the sum of its proper divisors (192381611944320).

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

56768229463680 is a wasteful number, since it uses less digits than its factorization.

56768229463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54494 (or 54479 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 56768229463680 in words is "fifty-six trillion, seven hundred sixty-eight billion, two hundred twenty-nine million, four hundred sixty-three thousand, six hundred eighty".