8973645120 has 336 divisors, whose sum is σ = 34249400640. Its totient is φ = 2138112000.

The previous prime is 8973645119. The next prime is 8973645139. The reversal of 8973645120 is 215463798.

8973645120 is a `hidden beast` number, since 8 + 9 + 73 + 64 + 512 + 0 = 666.

8973645120 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

8973645120 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

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, 1866720 + ... + 1871520.

It is an arithmetic number, because the mean of its divisors is an integer number (101932740).

It is a 1-persistent number, because it is pandigital, but 2⋅8973645120 = 17947290240 is not.

Almost surely, 2^8973645120 is an apocalyptic number.

8973645120 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 8973645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124700320).

8973645120 is an abundant number, since it is smaller than the sum of its proper divisors (25275755520).

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

8973645120 is a wasteful number, since it uses less digits than its factorization.

8973645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8973645120 is about 94729.3255544449. The cubic root of 8973645120 is about 2078.0514542634.

The spelling of 8973645120 in words is "eight billion, nine hundred seventy-three million, six hundred forty-five thousand, one hundred twenty".