4610801664 has 240 divisors, whose sum is σ = 15623305600. Its totient is φ = 1316487168.

The previous prime is 4610801653. The next prime is 4610801681. The reversal of 4610801664 is 4661080164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3095832 + ... + 3097320.

Almost surely, 2^4610801664 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 4610801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811652800).

4610801664 is an abundant number, since it is smaller than the sum of its proper divisors (11012503936).

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

4610801664 is an equidigital number, since it uses as much as digits as its factorization.

4610801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4610801664 is about 67902.8840624609. The cubic root of 4610801664 is about 1664.4042410389.

The spelling of 4610801664 in words is "four billion, six hundred ten million, eight hundred one thousand, six hundred sixty-four".