616405303296 has 640 divisors, whose sum is σ = 2055387312000. Its totient is φ = 182949249024.

The previous prime is 616405303247. The next prime is 616405303307. The reversal of 616405303296 is 692303504616.

616405303296 is a `hidden beast` number, since 6 + 16 + 40 + 5 + 303 + 296 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 857308825 + ... + 857309543.

It is an arithmetic number, because the mean of its divisors is an integer number (3211542675).

Almost surely, 2^616405303296 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 616405303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027693656000).

616405303296 is an abundant number, since it is smaller than the sum of its proper divisors (1438982008704).

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

616405303296 is an equidigital number, since it uses as much as digits as its factorization.

616405303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 616405303296 in words is "six hundred sixteen billion, four hundred five million, three hundred three thousand, two hundred ninety-six".