9968955280 has 40 divisors (see below), whose sum is σ = 23216498424. Its totient is φ = 3980928000.

The previous prime is 9968955247. The next prime is 9968955313. The reversal of 9968955280 is 825598699.

It is an interprime number because it is at equal distance from previous prime (9968955247) and next prime (9968955313).

It can be written as a sum of positive squares in 4 ways, for example, as 5376995584 + 4591959696 = 73328^2 + 67764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55591 + ... + 151750.

Almost surely, 2^9968955280 is an apocalyptic number.

It is an amenable number.

9968955280 is an abundant number, since it is smaller than the sum of its proper divisors (13247543144).

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

9968955280 is a wasteful number, since it uses less digits than its factorization.

9968955280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207955 (or 207949 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The square root of 9968955280 is about 99844.6557408057. The cubic root of 9968955280 is about 2152.2029182214.

The spelling of 9968955280 in words is "nine billion, nine hundred sixty-eight million, nine hundred fifty-five thousand, two hundred eighty".