4616485632 has 216 divisors, whose sum is σ = 15286340160. Its totient is φ = 1325168640.

The previous prime is 4616485591. The next prime is 4616485637. The reversal of 4616485632 is 2365846164.

4616485632 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 4 + 8 + 5 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (4616485637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476743 + ... + 486329.

Almost surely, 2^4616485632 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 4616485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643170080).

4616485632 is an abundant number, since it is smaller than the sum of its proper divisors (10669854528).

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

4616485632 is a wasteful number, since it uses less digits than its factorization.

4616485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9639 (or 9622 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4616485632 is about 67944.7248283485. The cubic root of 4616485632 is about 1665.0878919055.

The spelling of 4616485632 in words is "four billion, six hundred sixteen million, four hundred eighty-five thousand, six hundred thirty-two".