6156908800 has 324 divisors, whose sum is σ = 18365738580. Its totient is φ = 2035138560.

The previous prime is 6156908761. The next prime is 6156908809. The reversal of 6156908800 is 88096516.

It can be written as a sum of positive squares in 6 ways, for example, as 305270784 + 5851638016 = 17472^2 + 76496^2 .

It is not an unprimeable number, because it can be changed into a prime (6156908809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9094062 + ... + 9094738.

Almost surely, 2^6156908800 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 6156908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182869290).

6156908800 is an abundant number, since it is smaller than the sum of its proper divisors (12208829780).

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

6156908800 is a wasteful number, since it uses less digits than its factorization.

6156908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 6156908800 is about 78465.9722427499. The cubic root of 6156908800 is about 1832.8246066900.

The spelling of 6156908800 in words is "six billion, one hundred fifty-six million, nine hundred eight thousand, eight hundred".