766022406912 has 432 divisors, whose sum is σ = 2622888532992. Its totient is φ = 218424729600.

The previous prime is 766022406887. The next prime is 766022406923. The reversal of 766022406912 is 219604220667.

766022406912 is a `hidden beast` number, since 7 + 6 + 602 + 24 + 0 + 6 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 261707593 + ... + 261710519.

Almost surely, 2^766022406912 is an apocalyptic number.

766022406912 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 766022406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311444266496).

766022406912 is an abundant number, since it is smaller than the sum of its proper divisors (1856866126080).

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

766022406912 is an equidigital number, since it uses as much as digits as its factorization.

766022406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 766022406912 in words is "seven hundred sixty-six billion, twenty-two million, four hundred six thousand, nine hundred twelve".