4664342592 has 672 divisors, whose sum is σ = 17733800448. Its totient is φ = 1138655232.

The previous prime is 4664342587. The next prime is 4664342593. The reversal of 4664342592 is 2952434664.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (4664342593) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63895068 + ... + 63895140.

It is an arithmetic number, because the mean of its divisors is an integer number (26389584).

Almost surely, 2^4664342592 is an apocalyptic number.

4664342592 is a gapful number since it is divisible by the number (42) 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 4664342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866900224).

4664342592 is an abundant number, since it is smaller than the sum of its proper divisors (13069457856).

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

4664342592 is a wasteful number, since it uses less digits than its factorization.

4664342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4664342592 is about 68295.9925032209. The cubic root of 4664342592 is about 1670.8218541921.

The spelling of 4664342592 in words is "four billion, six hundred sixty-four million, three hundred forty-two thousand, five hundred ninety-two".