4617414640 has 80 divisors (see below), whose sum is σ = 10893722400. Its totient is φ = 1819950080.

The previous prime is 4617414623. The next prime is 4617414649. The reversal of 4617414640 is 464147164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4617414640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617414649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560042 + ... + 1562998.

It is an arithmetic number, because the mean of its divisors is an integer number (136171530).

Almost surely, 2^4617414640 is an apocalyptic number.

4617414640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4617414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446861200).

4617414640 is an abundant number, since it is smaller than the sum of its proper divisors (6276307760).

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

4617414640 is a wasteful number, since it uses less digits than its factorization.

4617414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4617414640 is about 67951.5609828060. The cubic root of 4617414640 is about 1665.1995768786.

The spelling of 4617414640 in words is "four billion, six hundred seventeen million, four hundred fourteen thousand, six hundred forty".