9748876424832 has 1152 divisors, whose sum is σ = 32178392064000. Its totient is φ = 2929272698880.

The previous prime is 9748876424831. The next prime is 9748876424839. The reversal of 9748876424832 is 2384246788479.

9748876424832 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 87 + 64 + 2 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (9748876424831) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48989328669 + ... + 48989328867.

It is an arithmetic number, because the mean of its divisors is an integer number (27932632000).

Almost surely, 2^{9748876424832} is an apocalyptic number.

9748876424832 is a gapful number since it is divisible by the number (92) 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 9748876424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089196032000).

9748876424832 is an abundant number, since it is smaller than the sum of its proper divisors (22429515639168).

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

9748876424832 is a wasteful number, since it uses less digits than its factorization.

9748876424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 305 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 9748876424832 in words is "nine trillion, seven hundred forty-eight billion, eight hundred seventy-six million, four hundred twenty-four thousand, eight hundred thirty-two".