9672965280 has 144 divisors (see below), whose sum is σ = 36009870624. Its totient is φ = 2344957440.

The previous prime is 9672965279. The next prime is 9672965297. The reversal of 9672965280 is 825692769.

9672965280 is a `hidden beast` number, since 96 + 7 + 29 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 289494 + ... + 321173.

It is an arithmetic number, because the mean of its divisors is an integer number (250068546).

Almost surely, 2^9672965280 is an apocalyptic number.

9672965280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9672965280 is an abundant number, since it is smaller than the sum of its proper divisors (26336905344).

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

9672965280 is a wasteful number, since it uses less digits than its factorization.

9672965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610699 (or 610688 counting only the distinct ones).

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

The square root of 9672965280 is about 98351.2342576340. The cubic root of 9672965280 is about 2130.6880802824.

The spelling of 9672965280 in words is "nine billion, six hundred seventy-two million, nine hundred sixty-five thousand, two hundred eighty".