766350428688000 has 3072 divisors, whose sum is σ = 3134668684492800. Its totient is φ = 178009767936000.

The previous prime is 766350428687989. The next prime is 766350428688041. The reversal of 766350428688000 is 886824053667.

766350428688000 is a `hidden beast` number, since 7 + 6 + 63 + 504 + 2 + 8 + 68 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1470922127740 + ... + 1470922128260.

It is an arithmetic number, because the mean of its divisors is an integer number (1020399962400).

Almost surely, 2^{766350428688000} 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 766350428688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567334342246400).

766350428688000 is an abundant number, since it is smaller than the sum of its proper divisors (2368318255804800).

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

766350428688000 is a wasteful number, since it uses less digits than its factorization.

766350428688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 766350428688000 in words is "seven hundred sixty-six trillion, three hundred fifty billion, four hundred twenty-eight million, six hundred eighty-eight thousand".