9953767680 has 144 divisors (see below), whose sum is σ = 32815716864. Its totient is φ = 2568683520.

The previous prime is 9953767673. The next prime is 9953767687. The reversal of 9953767680 is 867673599.

It is an interprime number because it is at equal distance from previous prime (9953767673) and next prime (9953767687).

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

It is not an unprimeable number, because it can be changed into a prime (9953767687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77232 + ... + 160848.

Almost surely, 2^9953767680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9953767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407858432).

9953767680 is an abundant number, since it is smaller than the sum of its proper divisors (22861949184).

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

9953767680 is a wasteful number, since it uses less digits than its factorization.

9953767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83672 (or 83658 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The square root of 9953767680 is about 99768.5706021691. The cubic root of 9953767680 is about 2151.1094097738.

The spelling of 9953767680 in words is "nine billion, nine hundred fifty-three million, seven hundred sixty-seven thousand, six hundred eighty".