768544290864 has 480 divisors, whose sum is σ = 2637765172224. Its totient is φ = 204118548480.

The previous prime is 768544290847. The next prime is 768544290907. The reversal of 768544290864 is 468092445867.

768544290864 is a `hidden beast` number, since 7 + 6 + 8 + 544 + 2 + 9 + 0 + 86 + 4 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 269002524 + ... + 269005380.

Almost surely, 2^768544290864 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 768544290864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318882586112).

768544290864 is an abundant number, since it is smaller than the sum of its proper divisors (1869220881360).

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

768544290864 is a wasteful number, since it uses less digits than its factorization.

768544290864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 768544290864 in words is "seven hundred sixty-eight billion, five hundred forty-four million, two hundred ninety thousand, eight hundred sixty-four".