9965214720 has 132 divisors (see below), whose sum is σ = 34529369160. Its totient is φ = 2657378304.

The previous prime is 9965214719. The next prime is 9965214737. The reversal of 9965214720 is 274125699.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62050 + ... + 154209.

It is an arithmetic number, because the mean of its divisors is an integer number (261586130).

Almost surely, 2^9965214720 is an apocalyptic number.

9965214720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9965214720 is an abundant number, since it is smaller than the sum of its proper divisors (24564154440).

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

9965214720 is a wasteful number, since it uses less digits than its factorization.

9965214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216290 (or 216269 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9965214720 is about 99825.9220843965. The cubic root of 9965214720 is about 2151.9337007347.

The spelling of 9965214720 in words is "nine billion, nine hundred sixty-five million, two hundred fourteen thousand, seven hundred twenty".