8973627040 has 384 divisors, whose sum is σ = 26878279680. Its totient is φ = 2762035200.

The previous prime is 8973627029. The next prime is 8973627041. The reversal of 8973627040 is 407263798.

8973627040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8973627041) 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 63 ways as a sum of consecutive naturals, for example, 40240369 + ... + 40240591.

It is an arithmetic number, because the mean of its divisors is an integer number (69995520).

Almost surely, 2^8973627040 is an apocalyptic number.

8973627040 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 8973627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

8973627040 is an abundant number, since it is smaller than the sum of its proper divisors (17904652640).

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

8973627040 is a wasteful number, since it uses less digits than its factorization.

8973627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 8973627040 is about 94729.2301246030. The cubic root of 8973627040 is about 2078.0500586509.

The spelling of 8973627040 in words is "eight billion, nine hundred seventy-three million, six hundred twenty-seven thousand, forty".