8974876320 has 288 divisors, whose sum is σ = 31529481984. Its totient is φ = 2323814400.

The previous prime is 8974876307. The next prime is 8974876321. The reversal of 8974876320 is 236784798.

8974876320 is a `hidden beast` number, since 89 + 7 + 487 + 63 + 20 = 666.

8974876320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (8974876321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7290105 + ... + 7291335.

It is an arithmetic number, because the mean of its divisors is an integer number (109477368).

Almost surely, 2^8974876320 is an apocalyptic number.

8974876320 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 8974876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764740992).

8974876320 is an abundant number, since it is smaller than the sum of its proper divisors (22554605664).

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

8974876320 is a wasteful number, since it uses less digits than its factorization.

8974876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8974876320 is about 94735.8238471593. The cubic root of 8974876320 is about 2078.1464873637.

The spelling of 8974876320 in words is "eight billion, nine hundred seventy-four million, eight hundred seventy-six thousand, three hundred twenty".