6118912800 has 1152 divisors, whose sum is σ = 29818091520. Its totient is φ = 1169510400.

The previous prime is 6118912753. The next prime is 6118912843. The reversal of 6118912800 is 82198116.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 21621459 + ... + 21621741.

It is an arithmetic number, because the mean of its divisors is an integer number (25883760).

Almost surely, 2^6118912800 is an apocalyptic number.

6118912800 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 6118912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909045760).

6118912800 is an abundant number, since it is smaller than the sum of its proper divisors (23699178720).

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

6118912800 is a wasteful number, since it uses less digits than its factorization.

6118912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 6118912800 is about 78223.4798510013. The cubic root of 6118912800 is about 1829.0465336796.

The spelling of 6118912800 in words is "six billion, one hundred eighteen million, nine hundred twelve thousand, eight hundred".