766474916976 has 300 divisors, whose sum is σ = 2346678834192. Its totient is φ = 241489340928.

The previous prime is 766474916969. The next prime is 766474917001. The reversal of 766474916976 is 679619474667.

766474916976 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 7 + 491 + 69 + 76 = 666.

766474916976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 235329940 + ... + 235333196.

Almost surely, 2^766474916976 is an apocalyptic number.

766474916976 is a gapful number since it is divisible by the number (76) 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 766474916976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173339417096).

766474916976 is an abundant number, since it is smaller than the sum of its proper divisors (1580203917216).

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

766474916976 is a wasteful number, since it uses less digits than its factorization.

766474916976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3784 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 766474916976 in words is "seven hundred sixty-six billion, four hundred seventy-four million, nine hundred sixteen thousand, nine hundred seventy-six".