8975304000 has 672 divisors, whose sum is σ = 35538607104. Its totient is φ = 2148249600.

The previous prime is 8975303951. The next prime is 8975304011. The reversal of 8975304000 is 4035798.

8975304000 is a `hidden beast` number, since 89 + 7 + 530 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40247889 + ... + 40248111.

It is an arithmetic number, because the mean of its divisors is an integer number (52884832).

Almost surely, 2^8975304000 is an apocalyptic number.

8975304000 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 8975304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769303552).

8975304000 is an abundant number, since it is smaller than the sum of its proper divisors (26563303104).

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

8975304000 is a wasteful number, since it uses less digits than its factorization.

8975304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8975304000 is about 94738.0810445303. The cubic root of 8975304000 is about 2078.1794968278.

Adding to 8975304000 its reverse (4035798), we get a palindrome (8979339798).

The spelling of 8975304000 in words is "eight billion, nine hundred seventy-five million, three hundred four thousand".