4664406320 has 160 divisors (see below), whose sum is σ = 12892508160. Its totient is φ = 1535708160.

The previous prime is 4664406319. The next prime is 4664406377. The reversal of 4664406320 is 236044664.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412074 + ... + 2414006.

It is an arithmetic number, because the mean of its divisors is an integer number (80578176).

Almost surely, 2^4664406320 is an apocalyptic number.

4664406320 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 4664406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446254080).

4664406320 is an abundant number, since it is smaller than the sum of its proper divisors (8228101840).

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

4664406320 is a wasteful number, since it uses less digits than its factorization.

4664406320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 4664406320 is about 68296.4590590171. The cubic root of 4664406320 is about 1670.8294635281.

The spelling of 4664406320 in words is "four billion, six hundred sixty-four million, four hundred six thousand, three hundred twenty".