9972311760 has 280 divisors, whose sum is σ = 35127454824. Its totient is φ = 2631398400.

The previous prime is 9972311759. The next prime is 9972311819. The reversal of 9972311760 is 671132799.

It can be written as a sum of positive squares in 4 ways, for example, as 2766339216 + 7205972544 = 52596^2 + 84888^2 .

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5889474 + ... + 5891166.

Almost surely, 2^9972311760 is an apocalyptic number.

9972311760 is a gapful number since it is divisible by the number (90) 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 9972311760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563727412).

9972311760 is an abundant number, since it is smaller than the sum of its proper divisors (25155143064).

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

9972311760 is a wasteful number, since it uses less digits than its factorization.

9972311760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9972311760 is about 99861.4628372727. The cubic root of 9972311760 is about 2152.4444351862. Note that the first 4 decimals are identical.

It can be divided in two parts, 997231 and 1760, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 9972311760 in words is "nine billion, nine hundred seventy-two million, three hundred eleven thousand, seven hundred sixty".