408664903680 has 624 divisors, whose sum is σ = 1574878458816. Its totient is φ = 97175470080.

The previous prime is 408664903663. The next prime is 408664903687. The reversal of 408664903680 is 86309466804.

408664903680 is a `hidden beast` number, since 40 + 8 + 6 + 6 + 490 + 36 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (408664903687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107456659 + ... + 107460461.

It is an arithmetic number, because the mean of its divisors is an integer number (2523843684).

Almost surely, 2^408664903680 is an apocalyptic number.

408664903680 is a gapful number since it is divisible by the number (40) 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 408664903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787439229408).

408664903680 is an abundant number, since it is smaller than the sum of its proper divisors (1166213555136).

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

408664903680 is a wasteful number, since it uses less digits than its factorization.

408664903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 408664903680 in words is "four hundred eight billion, six hundred sixty-four million, nine hundred three thousand, six hundred eighty".