9204884794800 has 360 divisors, whose sum is σ = 32714978946624. Its totient is φ = 2395834122240.

The previous prime is 9204884794771. The next prime is 9204884794829. The reversal of 9204884794800 is 84974884029.

9204884794800 is a `hidden beast` number, since 9 + 2 + 0 + 4 + 8 + 84 + 79 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9204884794771) and next prime (9204884794829).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36699417 + ... + 36949383.

Almost surely, 2^{9204884794800} is an apocalyptic number.

9204884794800 is a gapful number since it is divisible by the number (90) 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 9204884794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357489473312).

9204884794800 is an abundant number, since it is smaller than the sum of its proper divisors (23510094151824).

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

9204884794800 is a wasteful number, since it uses less digits than its factorization.

9204884794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250237 (or 250223 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 9204884794800 in words is "nine trillion, two hundred four billion, eight hundred eighty-four million, seven hundred ninety-four thousand, eight hundred".