399780864000 has 672 divisors, whose sum is σ = 1647414714816. Its totient is φ = 91363737600.

The previous prime is 399780863971. The next prime is 399780864017. The reversal of 399780864000 is 468087993.

399780864000 is a `hidden beast` number, since 3 + 99 + 78 + 0 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 64508902 + ... + 64515098.

Almost surely, 2^399780864000 is an apocalyptic number.

399780864000 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 399780864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823707357408).

399780864000 is an abundant number, since it is smaller than the sum of its proper divisors (1247633850816).

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

399780864000 is an equidigital number, since it uses as much as digits as its factorization.

399780864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 399780864000 in words is "three hundred ninety-nine billion, seven hundred eighty million, eight hundred sixty-four thousand".