9967654480 has 120 divisors (see below), whose sum is σ = 27057364200. Its totient is φ = 3404943360.

The previous prime is 9967654469. The next prime is 9967654531. The reversal of 9967654480 is 844567699.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3107839504 + 6859814976 = 55748^2 + 82824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096996 + ... + 1106044.

It is an arithmetic number, because the mean of its divisors is an integer number (225478035).

Almost surely, 2^9967654480 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 9967654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528682100).

9967654480 is an abundant number, since it is smaller than the sum of its proper divisors (17089709720).

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

9967654480 is a wasteful number, since it uses less digits than its factorization.

9967654480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The square root of 9967654480 is about 99838.1414089826. The cubic root of 9967654480 is about 2152.1093040210.

The spelling of 9967654480 in words is "nine billion, nine hundred sixty-seven million, six hundred fifty-four thousand, four hundred eighty".