9538340878080 has 1296 divisors, whose sum is σ = 40232147364864. Its totient is φ = 2076383232000.

The previous prime is 9538340877979. The next prime is 9538340878093. The reversal of 9538340878080 is 808780438359.

9538340878080 is a `hidden beast` number, since 9 + 5 + 3 + 83 + 408 + 78 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9538340877999 and 9538340878017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3258741577 + ... + 3258744503.

It is an arithmetic number, because the mean of its divisors is an integer number (31043323584).

Almost surely, 2^{9538340878080} is an apocalyptic number.

9538340878080 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 9538340878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116073682432).

9538340878080 is an abundant number, since it is smaller than the sum of its proper divisors (30693806486784).

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

9538340878080 is a wasteful number, since it uses less digits than its factorization.

9538340878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 9538340878080 in words is "nine trillion, five hundred thirty-eight billion, three hundred forty million, eight hundred seventy-eight thousand, eighty".