9129878784 has 432 divisors, whose sum is σ = 30445134720. Its totient is φ = 2607759360.

The previous prime is 9129878753. The next prime is 9129878801. The reversal of 9129878784 is 4878789219.

It is a super-2 number, since 2×9129878784² (a number of 21 digits) contains 22 as substring.

Its product of digits (16257024) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34714237 + ... + 34714499.

Almost surely, 2^9129878784 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 9129878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222567360).

9129878784 is an abundant number, since it is smaller than the sum of its proper divisors (21315255936).

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

9129878784 is a wasteful number, since it uses less digits than its factorization.

9129878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The square root of 9129878784 is about 95550.3991828396. The cubic root of 9129878784 is about 2090.0419536308.

The spelling of 9129878784 in words is "nine billion, one hundred twenty-nine million, eight hundred seventy-eight thousand, seven hundred eighty-four".