4645361664 has 240 divisors, whose sum is σ = 14234580360. Its totient is φ = 1508474880.

The previous prime is 4645361663. The next prime is 4645361683. The reversal of 4645361664 is 4661635464.

4645361664 is a `hidden beast` number, since 46 + 4 + 536 + 16 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645361663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6801067 + ... + 6801749.

Almost surely, 2^4645361664 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 4645361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117290180).

4645361664 is an abundant number, since it is smaller than the sum of its proper divisors (9589218696).

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

4645361664 is an equidigital number, since it uses as much as digits as its factorization.

4645361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4645361664 is about 68156.8900698968. The cubic root of 4645361664 is about 1668.5523764456.

The spelling of 4645361664 in words is "four billion, six hundred forty-five million, three hundred sixty-one thousand, six hundred sixty-four".