4680921600 has 360 divisors, whose sum is σ = 16919519760. Its totient is φ = 1235804160.

The previous prime is 4680921599. The next prime is 4680921653. The reversal of 4680921600 is 61290864.

4680921600 is a `hidden beast` number, since 46 + 8 + 0 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4680921600² = 43822054050693120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20620687 + ... + 20620913.

It is an arithmetic number, because the mean of its divisors is an integer number (46998666).

Almost surely, 2^4680921600 is an apocalyptic number.

4680921600 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 4680921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459759880).

4680921600 is an abundant number, since it is smaller than the sum of its proper divisors (12238598160).

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

4680921600 is a wasteful number, since it uses less digits than its factorization.

4680921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4680921600 is about 68417.2609799603. The cubic root of 4680921600 is about 1672.7991113101.

The spelling of 4680921600 in words is "four billion, six hundred eighty million, nine hundred twenty-one thousand, six hundred".