4616320631364 has 288 divisors, whose sum is σ = 13874823755520. Its totient is φ = 1280461602816.

The previous prime is 4616320631303. The next prime is 4616320631381. The reversal of 4616320631364 is 4631360236164.

4616320631364 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 3 + 2 + 0 + 631 + 3 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39413112 + ... + 39530064.

Almost surely, 2^{4616320631364} 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 4616320631364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937411877760).

4616320631364 is an abundant number, since it is smaller than the sum of its proper divisors (9258503124156).

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

4616320631364 is a wasteful number, since it uses less digits than its factorization.

4616320631364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117211 (or 117206 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 4616320631364 in words is "four trillion, six hundred sixteen billion, three hundred twenty million, six hundred thirty-one thousand, three hundred sixty-four".