9875634462720 has 2352 divisors, whose sum is σ = 40895852736960. Its totient is φ = 2280622915584.

The previous prime is 9875634462703. The next prime is 9875634462731. The reversal of 9875634462720 is 272644365789.

9875634462720 is a `hidden beast` number, since 9 + 8 + 7 + 563 + 4 + 4 + 62 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 95879946189 + ... + 95879946291.

Almost surely, 2^{9875634462720} is an apocalyptic number.

9875634462720 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 9875634462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447926368480).

9875634462720 is an abundant number, since it is smaller than the sum of its proper divisors (31020218274240).

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

9875634462720 is a wasteful number, since it uses less digits than its factorization.

9875634462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 9875634462720 in words is "nine trillion, eight hundred seventy-five billion, six hundred thirty-four million, four hundred sixty-two thousand, seven hundred twenty".