9972785637 has 32 divisors (see below), whose sum is σ = 14854464000. Its totient is φ = 6612632640.

The previous prime is 9972785597. The next prime is 9972785677. The reversal of 9972785637 is 7365872799.

It is an interprime number because it is at equal distance from previous prime (9972785597) and next prime (9972785677).

It is not a de Polignac number, because 9972785637 - 2⁷ = 9972785509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972785677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8113939 + ... + 8115167.

It is an arithmetic number, because the mean of its divisors is an integer number (464202000).

Almost surely, 2^9972785637 is an apocalyptic number.

It is an amenable number.

9972785637 is a deficient number, since it is larger than the sum of its proper divisors (4881678363).

9972785637 is a wasteful number, since it uses less digits than its factorization.

9972785637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2612 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 9972785637 is about 99863.8354811190. The cubic root of 9972785637 is about 2152.4785288441.

The spelling of 9972785637 in words is "nine billion, nine hundred seventy-two million, seven hundred eighty-five thousand, six hundred thirty-seven".