8875298972736 has 945 divisors, whose sum is σ = 32117997306549. Its totient is φ = 2416109617152.

The previous prime is 8875298972723. The next prime is 8875298972821. The reversal of 8875298972736 is 6372798925788.

The square root of 8875298972736 is 2979144.

It is a perfect power (a square), and thus also a powerful number.

8875298972736 is a `hidden beast` number, since 8 + 8 + 7 + 529 + 89 + 7 + 2 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8737699521600 + 137599451136 = 2955960^2 + 370944^2 .

It is a super-3 number, since 3×8875298972736³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 34534237120 + ... + 34534237376.

Almost surely, 2^{8875298972736} is an apocalyptic number.

8875298972736 is the 2979144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8875298972736

8875298972736 is an abundant number, since it is smaller than the sum of its proper divisors (23242698333813).

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

8875298972736 is an equidigital number, since it uses as much as digits as its factorization.

8875298972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 292 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

Multiplying 8875298972736 by its sum of digits (81), we get a square (718899216791616 = 26812296²).

8875298972736 divided by its sum of digits (81) gives a square (109571592256 = 331016²).

The spelling of 8875298972736 in words is "eight trillion, eight hundred seventy-five billion, two hundred ninety-eight million, nine hundred seventy-two thousand, seven hundred thirty-six".