768611912640 has 896 divisors, whose sum is σ = 3029124833280. Its totient is φ = 162337996800.

The previous prime is 768611912639. The next prime is 768611912693. The reversal of 768611912640 is 46219116867.

768611912640 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 127 ways as a sum of consecutive naturals, for example, 1218085125 + ... + 1218085755.

It is an arithmetic number, because the mean of its divisors is an integer number (3380719680).

Almost surely, 2^768611912640 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 768611912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514562416640).

768611912640 is an abundant number, since it is smaller than the sum of its proper divisors (2260512920640).

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

768611912640 is a wasteful number, since it uses less digits than its factorization.

768611912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 768611912640 in words is "seven hundred sixty-eight billion, six hundred eleven million, nine hundred twelve thousand, six hundred forty".