6133376800 has 72 divisors (see below), whose sum is σ = 14988634416. Its totient is φ = 2450807040.

The previous prime is 6133376791. The next prime is 6133376827. The reversal of 6133376800 is 86733316.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6133376800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894987 + ... + 901813.

It is an arithmetic number, because the mean of its divisors is an integer number (208175478).

Almost surely, 2^6133376800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494317208).

6133376800 is an abundant number, since it is smaller than the sum of its proper divisors (8855257616).

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

6133376800 is a wasteful number, since it uses less digits than its factorization.

6133376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 6133376800 is about 78315.8783389422. The cubic root of 6133376800 is about 1830.4865776906.

The spelling of 6133376800 in words is "six billion, one hundred thirty-three million, three hundred seventy-six thousand, eight hundred".