399972580560 has 640 divisors, whose sum is σ = 1627330129920. Its totient is φ = 88397568000.

The previous prime is 399972580487. The next prime is 399972580561. The reversal of 399972580560 is 65085279993.

399972580560 is a `hidden beast` number, since 399 + 97 + 25 + 80 + 5 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399972580561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 65663115 + ... + 65669205.

It is an arithmetic number, because the mean of its divisors is an integer number (2542703328).

Almost surely, 2^399972580560 is an apocalyptic number.

399972580560 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 399972580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813665064960).

399972580560 is an abundant number, since it is smaller than the sum of its proper divisors (1227357549360).

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

399972580560 is a wasteful number, since it uses less digits than its factorization.

399972580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 399972580560 in words is "three hundred ninety-nine billion, nine hundred seventy-two million, five hundred eighty thousand, five hundred sixty".