396000765763200 has 2304 divisors, whose sum is σ = 1606014708480000. Its totient is φ = 92180710195200.

The previous prime is 396000765763193. The next prime is 396000765763261. The reversal of 396000765763200 is 2367567000693.

396000765763200 is a `hidden beast` number, since 3 + 9 + 60 + 0 + 0 + 7 + 6 + 576 + 3 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 306739554555 + ... + 306739555845.

It is an arithmetic number, because the mean of its divisors is an integer number (697054995000).

Almost surely, 2^{396000765763200} is an apocalyptic number.

396000765763200 is a gapful number since it is divisible by the number (30) 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 396000765763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803007354240000).

396000765763200 is an abundant number, since it is smaller than the sum of its proper divisors (1210013942716800).

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

396000765763200 is a wasteful number, since it uses less digits than its factorization.

396000765763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 396000765763200 in words is "three hundred ninety-six trillion, seven hundred sixty-five million, seven hundred sixty-three thousand, two hundred".