9682997409000 has 192 divisors, whose sum is σ = 32736010029840. Its totient is φ = 2581542604800.

The previous prime is 9682997408993. The next prime is 9682997409037. The reversal of 9682997409000 is 9047992869.

It can be written as a sum of positive squares in 8 ways, for example, as 2735524139364 + 6947473269636 = 1653942^2 + 2635806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39992304 + ... + 40233696.

Almost surely, 2^{9682997409000} is an apocalyptic number.

9682997409000 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 9682997409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368005014920).

9682997409000 is an abundant number, since it is smaller than the sum of its proper divisors (23053012620840).

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

9682997409000 is a wasteful number, since it uses less digits than its factorization.

9682997409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245877 (or 245860 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 9682997409000 in words is "nine trillion, six hundred eighty-two billion, nine hundred ninety-seven million, four hundred nine thousand".