768383724640 has 96 divisors (see below), whose sum is σ = 2109799560960. Its totient is φ = 258980642304.

The previous prime is 768383724617. The next prime is 768383724677. The reversal of 768383724640 is 46427383867.

768383724640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747962 + ... + 5880121.

It is an arithmetic number, because the mean of its divisors is an integer number (21977078760).

Almost surely, 2^768383724640 is an apocalyptic number.

768383724640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768383724640 is an abundant number, since it is smaller than the sum of its proper divisors (1341415836320).

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

768383724640 is a wasteful number, since it uses less digits than its factorization.

768383724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628164 (or 11628156 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 768383724640 in words is "seven hundred sixty-eight billion, three hundred eighty-three million, seven hundred twenty-four thousand, six hundred forty".