4640872320 has 896 divisors, whose sum is σ = 20067480000. Its totient is φ = 1024192512.

The previous prime is 4640872277. The next prime is 4640872321. The reversal of 4640872320 is 232780464.

4640872320 is a `hidden beast` number, since 4 + 640 + 8 + 7 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640872321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160030066 + ... + 160030094.

Almost surely, 2^4640872320 is an apocalyptic number.

4640872320 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 4640872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10033740000).

4640872320 is an abundant number, since it is smaller than the sum of its proper divisors (15426607680).

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

4640872320 is an frugal number, since it uses more digits than its factorization.

4640872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4640872320 is about 68123.9482120642. The cubic root of 4640872320 is about 1668.0146989026.

The spelling of 4640872320 in words is "four billion, six hundred forty million, eight hundred seventy-two thousand, three hundred twenty".