766961934336 has 896 divisors, whose sum is σ = 2572891171200. Its totient is φ = 227030335488.

The previous prime is 766961934251. The next prime is 766961934397. The reversal of 766961934336 is 633439169667.

766961934336 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 6 + 193 + 433 + 6 = 666.

Its product of digits (79361856) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8617549780 + ... + 8617549868.

It is an arithmetic number, because the mean of its divisors is an integer number (2871530325).

Almost surely, 2^766961934336 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 766961934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286445585600).

766961934336 is an abundant number, since it is smaller than the sum of its proper divisors (1805929236864).

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

766961934336 is an frugal number, since it uses more digits than its factorization.

766961934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 63.

The spelling of 766961934336 in words is "seven hundred sixty-six billion, nine hundred sixty-one million, nine hundred thirty-four thousand, three hundred thirty-six".