6304676400 has 180 divisors, whose sum is σ = 23868126360. Its totient is φ = 1528396800.

The previous prime is 6304676353. The next prime is 6304676447. The reversal of 6304676400 is 46764036.

6304676400 is a `hidden beast` number, since 6 + 3 + 0 + 4 + 6 + 7 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6304676353) and next prime (6304676447).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40005 + ... + 119204.

It is an arithmetic number, because the mean of its divisors is an integer number (132600702).

Almost surely, 2^6304676400 is an apocalyptic number.

6304676400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6304676400 is an abundant number, since it is smaller than the sum of its proper divisors (17563449960).

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

6304676400 is a wasteful number, since it uses less digits than its factorization.

6304676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159244 (or 159230 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6304676400 is about 79401.9924183266. The cubic root of 6304676400 is about 1847.3716169029.

The spelling of 6304676400 in words is "six billion, three hundred four million, six hundred seventy-six thousand, four hundred".