9872909760 has 448 divisors, whose sum is σ = 37491277824. Its totient is φ = 2153779200.

The previous prime is 9872909743. The next prime is 9872909773. The reversal of 9872909760 is 679092789.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 9872909760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17290275 + ... + 17290845.

It is an arithmetic number, because the mean of its divisors is an integer number (83685888).

Almost surely, 2^9872909760 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 9872909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745638912).

9872909760 is an abundant number, since it is smaller than the sum of its proper divisors (27618368064).

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

9872909760 is a wasteful number, since it uses less digits than its factorization.

9872909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 9872909760 is about 99362.5168763352. The cubic root of 9872909760 is about 2145.2688292231.

The spelling of 9872909760 in words is "nine billion, eight hundred seventy-two million, nine hundred nine thousand, seven hundred sixty".