4640000640 has 512 divisors, whose sum is σ = 17578598400. Its totient is φ = 1028505600.

The previous prime is 4640000633. The next prime is 4640000681. The reversal of 4640000640 is 460000464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4640000640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12439494 + ... + 12439866.

It is an arithmetic number, because the mean of its divisors is an integer number (34333200).

Almost surely, 2^4640000640 is an apocalyptic number.

4640000640 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 4640000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789299200).

4640000640 is an abundant number, since it is smaller than the sum of its proper divisors (12938597760).

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

4640000640 is a wasteful number, since it uses less digits than its factorization.

4640000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4640000640 is about 68117.5501614672. The cubic root of 4640000640 is about 1667.9102597660.

The spelling of 4640000640 in words is "four billion, six hundred forty million, six hundred forty", and thus it is an aban number.