4610413764 has 144 divisors (see below), whose sum is σ = 13431862080. Its totient is φ = 1318705920.

The previous prime is 4610413751. The next prime is 4610413789. The reversal of 4610413764 is 4673140164.

4610413764 is a `hidden beast` number, since 4 + 610 + 4 + 1 + 37 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384142 + ... + 2386074.

It is an arithmetic number, because the mean of its divisors is an integer number (93276820).

Almost surely, 2^4610413764 is an apocalyptic number.

4610413764 is a gapful number since it is divisible by the number (44) 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 4610413764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715931040).

4610413764 is an abundant number, since it is smaller than the sum of its proper divisors (8821448316).

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

4610413764 is a wasteful number, since it uses less digits than its factorization.

4610413764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4610413764 is about 67900.0277172256. The cubic root of 4610413764 is about 1664.3575650985.

Subtracting 4610413764 from its reverse (4673140164), we obtain a square (62726400 = 7920²).

The spelling of 4610413764 in words is "four billion, six hundred ten million, four hundred thirteen thousand, seven hundred sixty-four".