8142775872 has 448 divisors, whose sum is σ = 28757514240. Its totient is φ = 1968537600.

The previous prime is 8142775801. The next prime is 8142775903. The reversal of 8142775872 is 2785772418.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 44987622 + ... + 44987802.

It is an arithmetic number, because the mean of its divisors is an integer number (64190880).

Almost surely, 2^8142775872 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 8142775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

8142775872 is an abundant number, since it is smaller than the sum of its proper divisors (20614738368).

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

8142775872 is a wasteful number, since it uses less digits than its factorization.

8142775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 1756160, while the sum is 51.

The square root of 8142775872 is about 90237.3308115882. The cubic root of 8142775872 is about 2011.8279018098.

The spelling of 8142775872 in words is "eight billion, one hundred forty-two million, seven hundred seventy-five thousand, eight hundred seventy-two".