616320877455360 has 4608 divisors, whose sum is σ = 2893846014259200. Its totient is φ = 117408006144000.

The previous prime is 616320877455253. The next prime is 616320877455401. The reversal of 616320877455360 is 63554778023616.

616320877455360 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 0 + 8 + 7 + 74 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 932406773430 + ... + 932406774090.

It is an arithmetic number, because the mean of its divisors is an integer number (628004777400).

Almost surely, 2^{616320877455360} is an apocalyptic number.

616320877455360 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 616320877455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446923007129600).

616320877455360 is an abundant number, since it is smaller than the sum of its proper divisors (2277525136803840).

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

616320877455360 is a wasteful number, since it uses less digits than its factorization.

616320877455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 616320877455360 in words is "six hundred sixteen trillion, three hundred twenty billion, eight hundred seventy-seven million, four hundred fifty-five thousand, three hundred sixty".