9672535404900 has 81 divisors (see below), whose sum is σ = 30318317316651. Its totient is φ = 2579317894080.

The previous prime is 9672535404887. The next prime is 9672535404949. The reversal of 9672535404900 is 94045352769.

The square root of 9672535404900 is 3110070.

It is a perfect power (a square), and thus also a powerful number.

9672535404900 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 5 + 3 + 540 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89399804004 + 9583135600896 = 298998^2 + 3095664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93250266 + ... + 93353934.

Almost surely, 2^{9672535404900} is an apocalyptic number.

9672535404900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9672535404900 is the 3110070-th square number.

It is an amenable number.

9672535404900 is an abundant number, since it is smaller than the sum of its proper divisors (20645781911751).

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

9672535404900 is an equidigital number, since it uses as much as digits as its factorization.

9672535404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207358 (or 103679 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 9672535404900 in words is "nine trillion, six hundred seventy-two billion, five hundred thirty-five million, four hundred four thousand, nine hundred".