616565162304 has 1680 divisors, whose sum is σ = 2495738488320. Its totient is φ = 148612423680.

The previous prime is 616565162281. The next prime is 616565162309. The reversal of 616565162304 is 403261565616.

616565162304 is a `hidden beast` number, since 6 + 16 + 5 + 6 + 5 + 1 + 623 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 616565162304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616565162309) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1945000354 + ... + 1945000670.

It is an arithmetic number, because the mean of its divisors is an integer number (1485558624).

Almost surely, 2^616565162304 is an apocalyptic number.

616565162304 is a gapful number since it is divisible by the number (64) 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 616565162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247869244160).

616565162304 is an abundant number, since it is smaller than the sum of its proper divisors (1879173326016).

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

616565162304 is a wasteful number, since it uses less digits than its factorization.

616565162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 616565162304 in words is "six hundred sixteen billion, five hundred sixty-five million, one hundred sixty-two thousand, three hundred four".