4660992000 has 864 divisors, whose sum is σ = 20396244960. Its totient is φ = 1002700800.

The previous prime is 4660991977. The next prime is 4660992001. The reversal of 4660992000 is 2990664.

4660992000 is a `hidden beast` number, since 46 + 609 + 9 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660992001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274175992 + ... + 274176008.

It is an arithmetic number, because the mean of its divisors is an integer number (23606765).

Almost surely, 2^4660992000 is an apocalyptic number.

4660992000 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 4660992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198122480).

4660992000 is an abundant number, since it is smaller than the sum of its proper divisors (15735252960).

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

4660992000 is a wasteful number, since it uses less digits than its factorization.

4660992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4660992000 is about 68271.4581651806. The cubic root of 4660992000 is about 1670.4216846615.

The spelling of 4660992000 in words is "four billion, six hundred sixty million, nine hundred ninety-two thousand".