9925637648004 has 189 divisors, whose sum is σ = 27294825332593. Its totient is φ = 3041263933344.

The previous prime is 9925637647931. The next prime is 9925637648009. The reversal of 9925637648004 is 4008467365299.

The square root of 9925637648004 is 3150498.

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

9925637648004 is a `hidden beast` number, since 9 + 9 + 2 + 563 + 7 + 64 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8515832876100 + 1409804771904 = 2918190^2 + 1187352^2 .

It is not an unprimeable number, because it can be changed into a prime (9925637648009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41529864517 + ... + 41529864755.

Almost surely, 2^{9925637648004} is an apocalyptic number.

9925637648004 is the 3150498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9925637648004

9925637648004 is an abundant number, since it is smaller than the sum of its proper divisors (17369187684589).

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

9925637648004 is an frugal number, since it uses more digits than its factorization.

9925637648004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 9925637648004 in words is "nine trillion, nine hundred twenty-five billion, six hundred thirty-seven million, six hundred forty-eight thousand, four".