8975467200 has 504 divisors, whose sum is σ = 35388401664. Its totient is φ = 1983744000.

The previous prime is 8975467177. The next prime is 8975467213. The reversal of 8975467200 is 27645798.

It is a super-2 number, since 2×8975467200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8975467200.

It is a congruent number.

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, 7290585 + ... + 7291815.

Almost surely, 2^8975467200 is an apocalyptic number.

8975467200 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 8975467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694200832).

8975467200 is an abundant number, since it is smaller than the sum of its proper divisors (26412934464).

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

8975467200 is a wasteful number, since it uses less digits than its factorization.

8975467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 8975467200 is about 94738.9423626842. The cubic root of 8975467200 is about 2078.1920927554.

The spelling of 8975467200 in words is "eight billion, nine hundred seventy-five million, four hundred sixty-seven thousand, two hundred".