8945937000 has 1024 divisors, whose sum is σ = 41765068800. Its totient is φ = 1710720000.

The previous prime is 8945936999. The next prime is 8945937019. The reversal of 8945937000 is 7395498.

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

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 255 ways as a sum of consecutive naturals, for example, 27026835 + ... + 27027165.

It is an arithmetic number, because the mean of its divisors is an integer number (40786200).

Almost surely, 2^8945937000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8945937000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20882534400).

8945937000 is an abundant number, since it is smaller than the sum of its proper divisors (32819131800).

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

8945937000 is a wasteful number, since it uses less digits than its factorization.

8945937000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8945937000 is about 94582.9635822435. The cubic root of 8945937000 is about 2075.9104341726.

The spelling of 8945937000 in words is "eight billion, nine hundred forty-five million, nine hundred thirty-seven thousand".