616587475680 has 576 divisors, whose sum is σ = 2325480917760. Its totient is φ = 147529728000.

The previous prime is 616587475627. The next prime is 616587475769. The reversal of 616587475680 is 86574785616.

616587475680 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 87 + 475 + 6 + 80 = 666.

It is a congruent number.

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, 424938955 + ... + 424940405.

It is an arithmetic number, because the mean of its divisors is an integer number (4037293260).

Almost surely, 2^616587475680 is an apocalyptic number.

616587475680 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 616587475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162740458880).

616587475680 is an abundant number, since it is smaller than the sum of its proper divisors (1708893442080).

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

616587475680 is a wasteful number, since it uses less digits than its factorization.

616587475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 616587475680 in words is "six hundred sixteen billion, five hundred eighty-seven million, four hundred seventy-five thousand, six hundred eighty".