96613682616 has 192 divisors, whose sum is σ = 306145008000. Its totient is φ = 27212440320.

The previous prime is 96613682579. The next prime is 96613682623. The reversal of 96613682616 is 61628631669.

96613682616 is a `hidden beast` number, since 9 + 6 + 6 + 13 + 6 + 8 + 2 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736975 + ... + 858113.

It is an arithmetic number, because the mean of its divisors is an integer number (1594505250).

Almost surely, 2^96613682616 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 96613682616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153072504000).

96613682616 is an abundant number, since it is smaller than the sum of its proper divisors (209531325384).

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

96613682616 is a wasteful number, since it uses less digits than its factorization.

96613682616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121234 (or 121227 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 96613682616 in words is "ninety-six billion, six hundred thirteen million, six hundred eighty-two thousand, six hundred sixteen".