9724886728704 has 1800 divisors, whose sum is σ = 37750037592960. Its totient is φ = 2472108097536.

The previous prime is 9724886728703. The next prime is 9724886728709. The reversal of 9724886728704 is 4078276884279.

It is a happy number.

9724886728704 is a `hidden beast` number, since 9 + 7 + 2 + 488 + 6 + 72 + 8 + 70 + 4 = 666.

It is a super-2 number, since 2×9724886728704² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9724886728703) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21004074777 + ... + 21004075239.

Almost surely, 2^{9724886728704} 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 9724886728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875018796480).

9724886728704 is an abundant number, since it is smaller than the sum of its proper divisors (28025150864256).

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

9724886728704 is a wasteful number, since it uses less digits than its factorization.

9724886728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 9724886728704 in words is "nine trillion, seven hundred twenty-four billion, eight hundred eighty-six million, seven hundred twenty-eight thousand, seven hundred four".