6408880800 has 144 divisors (see below), whose sum is σ = 23841099072. Its totient is φ = 1464883200.

The previous prime is 6408880799. The next prime is 6408880801. The reversal of 6408880800 is 80888046.

It is an interprime number because it is at equal distance from previous prime (6408880799) and next prime (6408880801).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6408880801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173941 + ... + 207540.

It is an arithmetic number, because the mean of its divisors is an integer number (165563188).

Almost surely, 2^6408880800 is an apocalyptic number.

6408880800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6408880800 is an abundant number, since it is smaller than the sum of its proper divisors (17432218272).

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

6408880800 is a wasteful number, since it uses less digits than its factorization.

6408880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381511 (or 381498 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 6408880800 is about 80055.4857583164. The cubic root of 6408880800 is about 1857.4939078276.

The spelling of 6408880800 in words is "six billion, four hundred eight million, eight hundred eighty thousand, eight hundred".