766668588624 has 240 divisors, whose sum is σ = 2370102553728. Its totient is φ = 239079776256.

The previous prime is 766668588599. The next prime is 766668588671. The reversal of 766668588624 is 426885866667.

It is a super-2 number, since 2×766668588624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11003304 + ... + 11072760.

Almost surely, 2^766668588624 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 766668588624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185051276864).

766668588624 is an abundant number, since it is smaller than the sum of its proper divisors (1603433965104).

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

766668588624 is a wasteful number, since it uses less digits than its factorization.

766668588624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69664 (or 69646 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 766668588624 in words is "seven hundred sixty-six billion, six hundred sixty-eight million, five hundred eighty-eight thousand, six hundred twenty-four".