6304798684800 has 2304 divisors, whose sum is σ = 30098273587200. Its totient is φ = 1264564224000.

The previous prime is 6304798684799. The next prime is 6304798684801. The reversal of 6304798684800 is 84868974036.

6304798684800 is a `hidden beast` number, since 6 + 3 + 0 + 4 + 7 + 98 + 68 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6304798684799) and next prime (6304798684801).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6304798684801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1736378985 + ... + 1736382615.

It is an arithmetic number, because the mean of its divisors is an integer number (13063486800).

Almost surely, 2^{6304798684800} is an apocalyptic number.

6304798684800 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 6304798684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049136793600).

6304798684800 is an abundant number, since it is smaller than the sum of its proper divisors (23793474902400).

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

6304798684800 is a wasteful number, since it uses less digits than its factorization.

6304798684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6304798684800 in words is "six trillion, three hundred four billion, seven hundred ninety-eight million, six hundred eighty-four thousand, eight hundred".