4668093562500 has 378 divisors, whose sum is σ = 14935329567522. Its totient is φ = 1229256000000.

The previous prime is 4668093562499. The next prime is 4668093562577. The reversal of 4668093562500 is 52653908664.

4668093562500 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 0 + 9 + 3 + 5 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4091493289536 + 576600272964 = 2022744^2 + 759342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17225437365 + ... + 17225437635.

Almost surely, 2^{4668093562500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668093562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467664783761).

4668093562500 is an abundant number, since it is smaller than the sum of its proper divisors (10267236005022).

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

4668093562500 is an equidigital number, since it uses as much as digits as its factorization.

4668093562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4668093562500 in words is "four trillion, six hundred sixty-eight billion, ninety-three million, five hundred sixty-two thousand, five hundred".