616503907600 has 360 divisors, whose sum is σ = 1760328133128. Its totient is φ = 206812569600.

The previous prime is 616503907561. The next prime is 616503907627. The reversal of 616503907600 is 6709305616.

It can be written as a sum of positive squares in 12 ways, for example, as 187070090256 + 429433817344 = 432516^2 + 655312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561990252 + ... + 561991348.

Almost surely, 2^616503907600 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 616503907600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880164066564).

616503907600 is an abundant number, since it is smaller than the sum of its proper divisors (1143824225528).

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

616503907600 is a wasteful number, since it uses less digits than its factorization.

616503907600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 616503907600 in words is "six hundred sixteen billion, five hundred three million, nine hundred seven thousand, six hundred".