616938004409328 has 320 divisors, whose sum is σ = 2090184726282240. Its totient is φ = 170493548025600.

The previous prime is 616938004409267. The next prime is 616938004409341. The reversal of 616938004409328 is 823904400839616.

616938004409328 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 3 + 80 + 0 + 440 + 93 + 28 = 666.

It is a super-2 number, since 2×616938004409328² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179315601 + ... + 182723727.

It is an arithmetic number, because the mean of its divisors is an integer number (6531827269632).

Almost surely, 2^{616938004409328} 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 616938004409328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045092363141120).

616938004409328 is an abundant number, since it is smaller than the sum of its proper divisors (1473246721872912).

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

616938004409328 is a wasteful number, since it uses less digits than its factorization.

616938004409328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410113 (or 3410101 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 616938004409328 in words is "six hundred sixteen trillion, nine hundred thirty-eight billion, four million, four hundred nine thousand, three hundred twenty-eight".