6302913820416 has 576 divisors, whose sum is σ = 19600128576000. Its totient is φ = 1995924602880.

The previous prime is 6302913820397. The next prime is 6302913820499. The reversal of 6302913820416 is 6140283192036.

6302913820416 is a `hidden beast` number, since 6 + 302 + 9 + 138 + 204 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2087747355 + ... + 2087750373.

It is an arithmetic number, because the mean of its divisors is an integer number (34028001000).

Almost surely, 2^{6302913820416} 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 6302913820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800064288000).

6302913820416 is an abundant number, since it is smaller than the sum of its proper divisors (13297214755584).

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

6302913820416 is a wasteful number, since it uses less digits than its factorization.

6302913820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6302913820416 in words is "six trillion, three hundred two billion, nine hundred thirteen million, eight hundred twenty thousand, four hundred sixteen".