9648936970920 has 512 divisors, whose sum is σ = 36626668646400. Its totient is φ = 2242440806400.

The previous prime is 9648936970913. The next prime is 9648936970927. The reversal of 9648936970920 is 290796398469.

9648936970920 is a `hidden beast` number, since 9 + 6 + 489 + 36 + 97 + 0 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (9648936970913) and next prime (9648936970927).

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

It is not an unprimeable number, because it can be changed into a prime (9648936970927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17574484 + ... + 18115196.

It is an arithmetic number, because the mean of its divisors is an integer number (71536462200).

Almost surely, 2^{9648936970920} is an apocalyptic number.

9648936970920 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 9648936970920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313334323200).

9648936970920 is an abundant number, since it is smaller than the sum of its proper divisors (26977731675480).

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

9648936970920 is a wasteful number, since it uses less digits than its factorization.

9648936970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540818 (or 540808 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 9648936970920 in words is "nine trillion, six hundred forty-eight billion, nine hundred thirty-six million, nine hundred seventy thousand, nine hundred twenty".