8968372000 has 144 divisors (see below), whose sum is σ = 25633448568. Its totient is φ = 3074803200.

The previous prime is 8968371989. The next prime is 8968372031. The reversal of 8968372000 is 2738698.

It can be written as a sum of positive squares in 4 ways, for example, as 1380568336 + 7587803664 = 37156^2 + 87108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173122 + ... + 218878.

Almost surely, 2^8968372000 is an apocalyptic number.

8968372000 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 8968372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816724284).

8968372000 is an abundant number, since it is smaller than the sum of its proper divisors (16665076568).

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

8968372000 is a wasteful number, since it uses less digits than its factorization.

8968372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45796 (or 45771 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 8968372000 is about 94701.4889006503. The cubic root of 8968372000 is about 2077.6443375866.

The spelling of 8968372000 in words is "eight billion, nine hundred sixty-eight million, three hundred seventy-two thousand".