9986652720 has 480 divisors, whose sum is σ = 39123549504. Its totient is φ = 2274877440.

The previous prime is 9986652701. The next prime is 9986652733. The reversal of 9986652720 is 272566899.

9986652720 is a `hidden beast` number, since 9 + 98 + 6 + 6 + 527 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16291134 + ... + 16291746.

Almost surely, 2^9986652720 is an apocalyptic number.

9986652720 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 9986652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561774752).

9986652720 is an abundant number, since it is smaller than the sum of its proper divisors (29136896784).

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

9986652720 is a wasteful number, since it uses less digits than its factorization.

9986652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9986652720 is about 99933.2413163908. The cubic root of 9986652720 is about 2153.4757351556.

The spelling of 9986652720 in words is "nine billion, nine hundred eighty-six million, six hundred fifty-two thousand, seven hundred twenty".