397632640204800 has 6480 divisors, whose sum is σ = 2000657736709632. Its totient is φ = 76020763852800.

The previous prime is 397632640204799. The next prime is 397632640204843. The reversal of 397632640204800 is 8402046236793.

397632640204800 is a `hidden beast` number, since 3 + 9 + 76 + 32 + 6 + 40 + 20 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×397632640204800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1295220326247 + ... + 1295220326553.

Almost surely, 2^{397632640204800} is an apocalyptic number.

397632640204800 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 397632640204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000328868354816).

397632640204800 is an abundant number, since it is smaller than the sum of its proper divisors (1603025096504832).

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

397632640204800 is a wasteful number, since it uses less digits than its factorization.

397632640204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 397632640204800 in words is "three hundred ninety-seven trillion, six hundred thirty-two billion, six hundred forty million, two hundred four thousand, eight hundred".