768373893840 has 320 divisors, whose sum is σ = 2869850603520. Its totient is φ = 166346127360.

The previous prime is 768373893821. The next prime is 768373893841. The reversal of 768373893840 is 48398373867.

768373893840 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 not an unprimeable number, because it can be changed into a prime (768373893841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2290806 + ... + 2604714.

It is an arithmetic number, because the mean of its divisors is an integer number (8968283136).

Almost surely, 2^768373893840 is an apocalyptic number.

768373893840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768373893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434925301760).

768373893840 is an abundant number, since it is smaller than the sum of its proper divisors (2101476709680).

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

768373893840 is a wasteful number, since it uses less digits than its factorization.

768373893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314010 (or 314004 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 768373893840 in words is "seven hundred sixty-eight billion, three hundred seventy-three million, eight hundred ninety-three thousand, eight hundred forty".