4664399376 has 640 divisors, whose sum is σ = 16887808000. Its totient is φ = 1097349120.

The previous prime is 4664399359. The next prime is 4664399387. The reversal of 4664399376 is 6739934664.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (17635968) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126064830 + ... + 126064866.

It is an arithmetic number, because the mean of its divisors is an integer number (26387200).

Almost surely, 2^4664399376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664399376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443904000).

4664399376 is an abundant number, since it is smaller than the sum of its proper divisors (12223408624).

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

4664399376 is a wasteful number, since it uses less digits than its factorization.

4664399376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 57.

The square root of 4664399376 is about 68296.4082218091. The cubic root of 4664399376 is about 1670.8286343947.

The spelling of 4664399376 in words is "four billion, six hundred sixty-four million, three hundred ninety-nine thousand, three hundred seventy-six".