4618644960 has 96 divisors (see below), whose sum is σ = 14571742752. Its totient is φ = 1229690880.

The previous prime is 4618644937. The next prime is 4618644967. The reversal of 4618644960 is 694468164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618644967) 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, 310002 + ... + 324558.

It is an arithmetic number, because the mean of its divisors is an integer number (151788987).

Almost surely, 2^4618644960 is an apocalyptic number.

4618644960 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 4618644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285871376).

4618644960 is an abundant number, since it is smaller than the sum of its proper divisors (9953097792).

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

4618644960 is a wasteful number, since it uses less digits than its factorization.

4618644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15236 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4618644960 is about 67960.6132991750. The cubic root of 4618644960 is about 1665.3474624067.

The spelling of 4618644960 in words is "four billion, six hundred eighteen million, six hundred forty-four thousand, nine hundred sixty".