8972320000 has 180 divisors, whose sum is σ = 25580136736. Its totient is φ = 3075840000.

The previous prime is 8972319997. The next prime is 8972320031. The reversal of 8972320000 is 232798.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1115995 + ... + 1124005.

Almost surely, 2^8972320000 is an apocalyptic number.

8972320000 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 8972320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790068368).

8972320000 is an abundant number, since it is smaller than the sum of its proper divisors (16607816736).

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

8972320000 is an frugal number, since it uses more digits than its factorization.

8972320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 8972320000 is about 94722.3310523976. The cubic root of 8972320000 is about 2077.9491620117.

Adding to 8972320000 its reverse (232798), we get a palindrome (8972552798).

The spelling of 8972320000 in words is "eight billion, nine hundred seventy-two million, three hundred twenty thousand".