6118876800 has 144 divisors (see below), whose sum is σ = 21833657430. Its totient is φ = 1631692800.

The previous prime is 6118876789. The next prime is 6118876817. The reversal of 6118876800 is 86788116.

It can be written as a sum of positive squares in 3 ways, for example, as 2765077056 + 3353799744 = 52584^2 + 57912^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 77431 + ... + 135030.

Almost surely, 2^6118876800 is an apocalyptic number.

6118876800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6118876800 is an abundant number, since it is smaller than the sum of its proper divisors (15714780630).

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

6118876800 is a wasteful number, since it uses less digits than its factorization.

6118876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212491 (or 212471 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 6118876800 is about 78223.2497407261. The cubic root of 6118876800 is about 1829.0429466696.

The spelling of 6118876800 in words is "six billion, one hundred eighteen million, eight hundred seventy-six thousand, eight hundred".