396891676800 has 288 divisors, whose sum is σ = 1450746247860. Its totient is φ = 103256064000.

The previous prime is 396891676793. The next prime is 396891676801. The reversal of 396891676800 is 8676198693.

396891676800 is a `hidden beast` number, since 396 + 8 + 9 + 167 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55059683904 + 341831992896 = 234648^2 + 584664^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×396891676800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (396891676801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1012740 + ... + 1348860.

Almost surely, 2^396891676800 is an apocalyptic number.

396891676800 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 396891676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725373123930).

396891676800 is an abundant number, since it is smaller than the sum of its proper divisors (1053854571060).

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

396891676800 is a wasteful number, since it uses less digits than its factorization.

396891676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336192 (or 336172 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 396891676800 in words is "three hundred ninety-six billion, eight hundred ninety-one million, six hundred seventy-six thousand, eight hundred".