6323116800 has 1296 divisors, whose sum is σ = 29125135872. Its totient is φ = 1187020800.

The previous prime is 6323116741. The next prime is 6323116831. The reversal of 6323116800 is 86113236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134534377 + ... + 134534423.

Almost surely, 2^6323116800 is an apocalyptic number.

6323116800 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 6323116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562567936).

6323116800 is an abundant number, since it is smaller than the sum of its proper divisors (22802019072).

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

6323116800 is a wasteful number, since it uses less digits than its factorization.

6323116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6323116800 is about 79518.0281445661. The cubic root of 6323116800 is about 1849.1709750331.

The spelling of 6323116800 in words is "six billion, three hundred twenty-three million, one hundred sixteen thousand, eight hundred".