4665390720 has 384 divisors, whose sum is σ = 16116848640. Its totient is φ = 1147281408.

The previous prime is 4665390707. The next prime is 4665390731. The reversal of 4665390720 is 270935664.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 36735297 + ... + 36735423.

It is an arithmetic number, because the mean of its divisors is an integer number (41970960).

Almost surely, 2^4665390720 is an apocalyptic number.

4665390720 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 4665390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058424320).

4665390720 is an abundant number, since it is smaller than the sum of its proper divisors (11451457920).

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

4665390720 is a wasteful number, since it uses less digits than its factorization.

4665390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 4665390720 is about 68303.6654946131. The cubic root of 4665390720 is about 1670.9469953723.

The spelling of 4665390720 in words is "four billion, six hundred sixty-five million, three hundred ninety thousand, seven hundred twenty".