6116797747200 has 1248 divisors, whose sum is σ = 23965332120576. Its totient is φ = 1347464724480.

The previous prime is 6116797747141. The next prime is 6116797747273. The reversal of 6116797747200 is 27477976116.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7674777202 + ... + 7674777998.

Almost surely, 2^{6116797747200} is an apocalyptic number.

6116797747200 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 6116797747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982666060288).

6116797747200 is an abundant number, since it is smaller than the sum of its proper divisors (17848534373376).

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

6116797747200 is a wasteful number, since it uses less digits than its factorization.

6116797747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 57.

The spelling of 6116797747200 in words is "six trillion, one hundred sixteen billion, seven hundred ninety-seven million, seven hundred forty-seven thousand, two hundred".