616098518064 has 240 divisors, whose sum is σ = 1848525020160. Its totient is φ = 198443831040.

The previous prime is 616098518053. The next prime is 616098518111. The reversal of 616098518064 is 460815890616.

616098518064 is a `hidden beast` number, since 6 + 1 + 60 + 9 + 8 + 518 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 616098518064.

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, 89066734 + ... + 89073650.

It is an arithmetic number, because the mean of its divisors is an integer number (7702187584).

Almost surely, 2^616098518064 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 616098518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924262510080).

616098518064 is an abundant number, since it is smaller than the sum of its proper divisors (1232426502096).

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

616098518064 is a wasteful number, since it uses less digits than its factorization.

616098518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 616098518064 in words is "six hundred sixteen billion, ninety-eight million, five hundred eighteen thousand, sixty-four".