396561673200 has 720 divisors, whose sum is σ = 1611989826048. Its totient is φ = 81565440000.

The previous prime is 396561673163. The next prime is 396561673229. The reversal of 396561673200 is 2376165693.

It is a super-2 number, since 2×396561673200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 396561673200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102654469 + ... + 102658331.

Almost surely, 2^396561673200 is an apocalyptic number.

396561673200 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 396561673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805994913024).

396561673200 is an abundant number, since it is smaller than the sum of its proper divisors (1215428152848).

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

396561673200 is a wasteful number, since it uses less digits than its factorization.

396561673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 396561673200 in words is "three hundred ninety-six billion, five hundred sixty-one million, six hundred seventy-three thousand, two hundred".