4599728640 has 320 divisors, whose sum is σ = 17598873600. Its totient is φ = 1132019712.

The previous prime is 4599728587. The next prime is 4599728699. The reversal of 4599728640 is 468279954.

4599728640 is a `hidden beast` number, since 4 + 599 + 7 + 2 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896001 + ... + 901119.

It is an arithmetic number, because the mean of its divisors is an integer number (54996480).

Almost surely, 2^4599728640 is an apocalyptic number.

4599728640 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 4599728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799436800).

4599728640 is an abundant number, since it is smaller than the sum of its proper divisors (12999144960).

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

4599728640 is a wasteful number, since it uses less digits than its factorization.

4599728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4599728640 is about 67821.2993092878. The cubic root of 4599728640 is about 1663.0707953161.

The spelling of 4599728640 in words is "four billion, five hundred ninety-nine million, seven hundred twenty-eight thousand, six hundred forty".