9648726937600 has 351 divisors, whose sum is σ = 25460707168911. Its totient is φ = 3626100326400.

The previous prime is 9648726937567. The next prime is 9648726937639. The reversal of 9648726937600 is 67396278469.

The square root of 9648726937600 is 3106240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 225693405184 + 9423033532416 = 475072^2 + 3069696^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 16897945315 + ... + 16897945885.

Almost surely, 2^{9648726937600} is an apocalyptic number.

9648726937600 is the 3106240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9648726937600

9648726937600 is an abundant number, since it is smaller than the sum of its proper divisors (15811980231311).

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

9648726937600 is an frugal number, since it uses more digits than its factorization.

9648726937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 67.

The spelling of 9648726937600 in words is "nine trillion, six hundred forty-eight billion, seven hundred twenty-six million, nine hundred thirty-seven thousand, six hundred".