9747735728700 has 288 divisors, whose sum is σ = 29591098048512. Its totient is φ = 2472779232000.

The previous prime is 9747735728657. The next prime is 9747735728767. The reversal of 9747735728700 is 78275377479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 993546795 + ... + 993556605.

It is an arithmetic number, because the mean of its divisors is an integer number (102746868224).

Almost surely, 2^{9747735728700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9747735728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795549024256).

9747735728700 is an abundant number, since it is smaller than the sum of its proper divisors (19843362319812).

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

9747735728700 is a wasteful number, since it uses less digits than its factorization.

9747735728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 145212480, while the sum is 66.

The spelling of 9747735728700 in words is "nine trillion, seven hundred forty-seven billion, seven hundred thirty-five million, seven hundred twenty-eight thousand, seven hundred".