616039680000 has 480 divisors, whose sum is σ = 2069053066080. Its totient is φ = 162938880000.

The previous prime is 616039679989. The next prime is 616039680013. The reversal of 616039680000 is 86930616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526079415 + ... + 526080585.

It is an arithmetic number, because the mean of its divisors is an integer number (4310527221).

Almost surely, 2^616039680000 is an apocalyptic number.

616039680000 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 616039680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034526533040).

616039680000 is an abundant number, since it is smaller than the sum of its proper divisors (1453013386080).

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

616039680000 is a wasteful number, since it uses less digits than its factorization.

616039680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 616039680000 in words is "six hundred sixteen billion, thirty-nine million, six hundred eighty thousand".