9387648990720 has 4800 divisors, whose sum is σ = 46971786470400. Its totient is φ = 1775267020800.

The previous prime is 9387648990689. The next prime is 9387648990803. The reversal of 9387648990720 is 270998467839.

9387648990720 is a `hidden beast` number, since 9 + 3 + 8 + 76 + 489 + 9 + 0 + 72 + 0 = 666.

9387648990720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9387648990720² (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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 132220408285 + ... + 132220408355.

It is an arithmetic number, because the mean of its divisors is an integer number (9785788848).

Almost surely, 2^{9387648990720} is an apocalyptic number.

9387648990720 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 9387648990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485893235200).

9387648990720 is an abundant number, since it is smaller than the sum of its proper divisors (37584137479680).

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

9387648990720 is a wasteful number, since it uses less digits than its factorization.

9387648990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 9387648990720 in words is "nine trillion, three hundred eighty-seven billion, six hundred forty-eight million, nine hundred ninety thousand, seven hundred twenty".