6455882304 has 224 divisors, whose sum is σ = 19571086080. Its totient is φ = 2085580800.

The previous prime is 6455882273. The next prime is 6455882333. The reversal of 6455882304 is 4032885546.

6455882304 is a `hidden beast` number, since 6 + 45 + 588 + 23 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6455882304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20758309 + ... + 20758619.

It is an arithmetic number, because the mean of its divisors is an integer number (87370920).

Almost surely, 2^6455882304 is an apocalyptic number.

6455882304 is a gapful number since it is divisible by the number (64) 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 6455882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785543040).

6455882304 is an abundant number, since it is smaller than the sum of its proper divisors (13115203776).

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

6455882304 is a wasteful number, since it uses less digits than its factorization.

6455882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6455882304 is about 80348.5053003477. The cubic root of 6455882304 is about 1862.0236871204.

The spelling of 6455882304 in words is "six billion, four hundred fifty-five million, eight hundred eighty-two thousand, three hundred four".