766433873952 has 144 divisors (see below), whose sum is σ = 2261010810240. Its totient is φ = 255394259712.

The previous prime is 766433873939. The next prime is 766433873977. The reversal of 766433873952 is 259378334667.

766433873952 is a `hidden beast` number, since 76 + 6 + 433 + 87 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 766433873952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26525049 + ... + 26553927.

It is an arithmetic number, because the mean of its divisors is an integer number (15701463960).

Almost surely, 2^766433873952 is an apocalyptic number.

766433873952 is a gapful number since it is divisible by the number (72) 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 766433873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130505405120).

766433873952 is an abundant number, since it is smaller than the sum of its proper divisors (1494576936288).

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

766433873952 is a wasteful number, since it uses less digits than its factorization.

766433873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32317 (or 32297 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 766433873952 in words is "seven hundred sixty-six billion, four hundred thirty-three million, eight hundred seventy-three thousand, nine hundred fifty-two".