4665652992 has 972 divisors, whose sum is σ = 19529303976. Its totient is φ = 1052835840.

The previous prime is 4665652987. The next prime is 4665653039. The reversal of 4665652992 is 2992565664.

4665652992 is a `hidden beast` number, since 4 + 66 + 56 + 529 + 9 + 2 = 666.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 274450168 + ... + 274450184.

Almost surely, 2^4665652992 is an apocalyptic number.

4665652992 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 4665652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764651988).

4665652992 is an abundant number, since it is smaller than the sum of its proper divisors (14863650984).

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

4665652992 is a wasteful number, since it uses less digits than its factorization.

4665652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 4665652992 is about 68305.5853645952. The cubic root of 4665652992 is about 1670.9783063903.

The spelling of 4665652992 in words is "four billion, six hundred sixty-five million, six hundred fifty-two thousand, nine hundred ninety-two".