4632722640 has 960 divisors, whose sum is σ = 20695104000. Its totient is φ = 951035904.

The previous prime is 4632722623. The next prime is 4632722651. The reversal of 4632722640 is 462272364.

4632722640 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 7 + 2 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4632722595 and 4632722604.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 125208702 + ... + 125208738.

It is an arithmetic number, because the mean of its divisors is an integer number (21557400).

Almost surely, 2^4632722640 is an apocalyptic number.

4632722640 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 4632722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347552000).

4632722640 is an abundant number, since it is smaller than the sum of its proper divisors (16062381360).

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

4632722640 is a wasteful number, since it uses less digits than its factorization.

4632722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4632722640 is about 68064.1068405367. The cubic root of 4632722640 is about 1667.0377452854.

The spelling of 4632722640 in words is "four billion, six hundred thirty-two million, seven hundred twenty-two thousand, six hundred forty".