768573938880 has 224 divisors, whose sum is σ = 2957845524480. Its totient is φ = 186320931840.

The previous prime is 768573938851. The next prime is 768573938897. The reversal of 768573938880 is 88839375867.

768573938880 is a `hidden beast` number, since 7 + 6 + 85 + 7 + 393 + 88 + 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 = 768573938799 and 768573938808.

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 31 ways as a sum of consecutive naturals, for example, 3948384 + ... + 4138463.

It is an arithmetic number, because the mean of its divisors is an integer number (13204667520).

Almost surely, 2^768573938880 is an apocalyptic number.

It is an amenable number.

768573938880 is an abundant number, since it is smaller than the sum of its proper divisors (2189271585600).

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

768573938880 is a wasteful number, since it uses less digits than its factorization.

768573938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086884 (or 8086868 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 768573938880 in words is "seven hundred sixty-eight billion, five hundred seventy-three million, nine hundred thirty-eight thousand, eight hundred eighty".