9967686360 has 32 divisors (see below), whose sum is σ = 29903059440. Its totient is φ = 2658049664.

The previous prime is 9967686359. The next prime is 9967686409. The reversal of 9967686360 is 636867699.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9967686294 and 9967686303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41531907 + ... + 41532146.

Almost surely, 2^9967686360 is an apocalyptic number.

It is an amenable number.

9967686360 is an abundant number, since it is smaller than the sum of its proper divisors (19935373080).

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

9967686360 is a wasteful number, since it uses less digits than its factorization.

9967686360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83064067 (or 83064063 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The square root of 9967686360 is about 99838.3010672758. The cubic root of 9967686360 is about 2152.1115984147. Note that the first 3 decimals are identical.

The spelling of 9967686360 in words is "nine billion, nine hundred sixty-seven million, six hundred eighty-six thousand, three hundred sixty".