766662371024368 has 720 divisors, whose sum is σ = 1948237090560000. Its totient is φ = 291089582364672.

The previous prime is 766662371024327. The next prime is 766662371024413. The reversal of 766662371024368 is 863420173266667.

It is a super-2 number, since 2×766662371024368² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73301684323 + ... + 73301694781.

It is an arithmetic number, because the mean of its divisors is an integer number (2705884848000).

Almost surely, 2^{766662371024368} 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 766662371024368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974118545280000).

766662371024368 is an abundant number, since it is smaller than the sum of its proper divisors (1181574719535632).

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

766662371024368 is a wasteful number, since it uses less digits than its factorization.

766662371024368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 67.

The spelling of 766662371024368 in words is "seven hundred sixty-six trillion, six hundred sixty-two billion, three hundred seventy-one million, twenty-four thousand, three hundred sixty-eight".