4676530924800 has 1296 divisors, whose sum is σ = 20281204419840. Its totient is φ = 1003609128960.

The previous prime is 4676530924777. The next prime is 4676530924837. The reversal of 4676530924800 is 84290356764.

4676530924800 is a `hidden beast` number, since 4 + 6 + 7 + 6 + 530 + 9 + 24 + 80 + 0 = 666.

It is a super-2 number, since 2×4676530924800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5641170786 + ... + 5641171614.

Almost surely, 2^{4676530924800} is an apocalyptic number.

4676530924800 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 4676530924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140602209920).

4676530924800 is an abundant number, since it is smaller than the sum of its proper divisors (15604673495040).

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

4676530924800 is a wasteful number, since it uses less digits than its factorization.

4676530924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4676530924800 in words is "four trillion, six hundred seventy-six billion, five hundred thirty million, nine hundred twenty-four thousand, eight hundred".