6116515668072 has 320 divisors, whose sum is σ = 17484325372800. Its totient is φ = 1997332162560.

The previous prime is 6116515668047. The next prime is 6116515668097. The reversal of 6116515668072 is 2708665156116.

6116515668072 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 5 + 1 + 566 + 8 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (6116515668047) and next prime (6116515668097).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5575674628 + ... + 5575675724.

It is an arithmetic number, because the mean of its divisors is an integer number (54638516790).

Almost surely, 2^{6116515668072} 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 6116515668072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742162686400).

6116515668072 is an abundant number, since it is smaller than the sum of its proper divisors (11367809704728).

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

6116515668072 is a wasteful number, since it uses less digits than its factorization.

6116515668072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 6116515668072 in words is "six trillion, one hundred sixteen billion, five hundred fifteen million, six hundred sixty-eight thousand, seventy-two".