6304596480 has 960 divisors, whose sum is σ = 28026206208. Its totient is φ = 1274019840.

The previous prime is 6304596469. The next prime is 6304596509. The reversal of 6304596480 is 846954036.

6304596480 is a `hidden beast` number, since 63 + 0 + 459 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995792 + ... + 64995888.

Almost surely, 2^6304596480 is an apocalyptic number.

6304596480 is a gapful number since it is divisible by the number (60) 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 6304596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013103104).

6304596480 is an abundant number, since it is smaller than the sum of its proper divisors (21721609728).

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

6304596480 is a wasteful number, since it uses less digits than its factorization.

6304596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6304596480 is about 79401.4891548011. The cubic root of 6304596480 is about 1847.3638109213.

The spelling of 6304596480 in words is "six billion, three hundred four million, five hundred ninety-six thousand, four hundred eighty".