6117140736 has 720 divisors, whose sum is σ = 23007067776. Its totient is φ = 1576599552.

The previous prime is 6117140717. The next prime is 6117140747. The reversal of 6117140736 is 6370417116.

6117140736 is a `hidden beast` number, since 611 + 7 + 1 + 4 + 0 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6117140736.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91300575 + ... + 91300641.

Almost surely, 2^6117140736 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 6117140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503533888).

6117140736 is an abundant number, since it is smaller than the sum of its proper divisors (16889927040).

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

6117140736 is a wasteful number, since it uses less digits than its factorization.

6117140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6117140736 is about 78212.1520992742. The cubic root of 6117140736 is about 1828.8699499977.

The spelling of 6117140736 in words is "six billion, one hundred seventeen million, one hundred forty thousand, seven hundred thirty-six".