9839725393680 has 2400 divisors, whose sum is σ = 44434527008256. Its totient is φ = 1998931156992.

The previous prime is 9839725393607. The next prime is 9839725393709. The reversal of 9839725393680 is 863935279389.

9839725393680 is a `hidden beast` number, since 9 + 8 + 3 + 9 + 7 + 2 + 539 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9839725393599 and 9839725393608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12998315862 + ... + 12998316618.

Almost surely, 2^{9839725393680} is an apocalyptic number.

9839725393680 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 9839725393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217263504128).

9839725393680 is an abundant number, since it is smaller than the sum of its proper divisors (34594801614576).

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

9839725393680 is a wasteful number, since it uses less digits than its factorization.

9839725393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 9839725393680 in words is "nine trillion, eight hundred thirty-nine billion, seven hundred twenty-five million, three hundred ninety-three thousand, six hundred eighty".