9748803261600 has 648 divisors, whose sum is σ = 37298102456160. Its totient is φ = 2394960721920.

The previous prime is 9748803261583. The next prime is 9748803261661. The reversal of 9748803261600 is 61623088479.

9748803261600 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 8 + 0 + 3 + 26 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 636378741 + ... + 636394059.

Almost surely, 2^{9748803261600} is an apocalyptic number.

9748803261600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9748803261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649051228080).

9748803261600 is an abundant number, since it is smaller than the sum of its proper divisors (27549299194560).

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

9748803261600 is a wasteful number, since it uses less digits than its factorization.

9748803261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15894 (or 15865 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9748803261600 in words is "nine trillion, seven hundred forty-eight billion, eight hundred three million, two hundred sixty-one thousand, six hundred".