616934531808 has 384 divisors, whose sum is σ = 2085514905600. Its totient is φ = 173787254784.

The previous prime is 616934531783. The next prime is 616934531819. The reversal of 616934531808 is 808135439616.

616934531808 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 3 + 453 + 180 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213692541 + ... + 213695427.

It is an arithmetic number, because the mean of its divisors is an integer number (5431028400).

Almost surely, 2^616934531808 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 616934531808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042757452800).

616934531808 is an abundant number, since it is smaller than the sum of its proper divisors (1468580373792).

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

616934531808 is a wasteful number, since it uses less digits than its factorization.

616934531808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 616934531808 in words is "six hundred sixteen billion, nine hundred thirty-four million, five hundred thirty-one thousand, eight hundred eight".