9972813870 has 192 divisors, whose sum is σ = 28464359040. Its totient is φ = 2412232704.

The previous prime is 9972813827. The next prime is 9972813871. The reversal of 9972813870 is 783182799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972813871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6396151 + ... + 6397709.

It is an arithmetic number, because the mean of its divisors is an integer number (148251870).

Almost surely, 2^9972813870 is an apocalyptic number.

9972813870 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972813870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232179520).

9972813870 is an abundant number, since it is smaller than the sum of its proper divisors (18491545170).

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

9972813870 is a wasteful number, since it uses less digits than its factorization.

9972813870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 9972813870 is about 99863.9768384977. The cubic root of 9972813870 is about 2152.4805600676.

The spelling of 9972813870 in words is "nine billion, nine hundred seventy-two million, eight hundred thirteen thousand, eight hundred seventy".