396667756800 has 1296 divisors, whose sum is σ = 1704927544320. Its totient is φ = 89370501120.

The previous prime is 396667756789. The next prime is 396667756831. The reversal of 396667756800 is 8657766693.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 903570981 + ... + 903571419.

Almost surely, 2^396667756800 is an apocalyptic number.

396667756800 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 396667756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852463772160).

396667756800 is an abundant number, since it is smaller than the sum of its proper divisors (1308259787520).

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

396667756800 is an equidigital number, since it uses as much as digits as its factorization.

396667756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 396667756800 in words is "three hundred ninety-six billion, six hundred sixty-seven million, seven hundred fifty-six thousand, eight hundred".