806832696960 has 384 divisors, whose sum is σ = 3035529057600. Its totient is φ = 202497933312.

The previous prime is 806832696919. The next prime is 806832697007. The reversal of 806832696960 is 69696238608.

806832696960 is a `hidden beast` number, since 80 + 68 + 326 + 96 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4913139 + ... + 5074701.

Almost surely, 2^806832696960 is an apocalyptic number.

806832696960 is a gapful number since it is divisible by the number (80) 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 806832696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517764528800).

806832696960 is an abundant number, since it is smaller than the sum of its proper divisors (2228696360640).

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

806832696960 is a wasteful number, since it uses less digits than its factorization.

806832696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161625 (or 161590 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 806832696960 in words is "eight hundred six billion, eight hundred thirty-two million, six hundred ninety-six thousand, nine hundred sixty".