8900328729600 has 3168 divisors, whose sum is σ = 43665856206336. Its totient is φ = 1739037081600.

The previous prime is 8900328729559. The next prime is 8900328729647. The reversal of 8900328729600 is 69278230098.

It is a happy number.

8900328729600 is a `hidden beast` number, since 8 + 9 + 0 + 0 + 3 + 2 + 8 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8143026654 + ... + 8143027746.

Almost surely, 2^{8900328729600} is an apocalyptic number.

8900328729600 is a gapful number since it is divisible by the number (80) 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 8900328729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832928103168).

8900328729600 is an abundant number, since it is smaller than the sum of its proper divisors (34765527476736).

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

8900328729600 is a wasteful number, since it uses less digits than its factorization.

8900328729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 8900328729600 in words is "eight trillion, nine hundred billion, three hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred".