8134795872 has 192 divisors, whose sum is σ = 27358248960. Its totient is φ = 2303465472.

The previous prime is 8134795853. The next prime is 8134795909. The reversal of 8134795872 is 2785974318.

It is a happy number.

8134795872 is a `hidden beast` number, since 8 + 13 + 47 + 9 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677473 + ... + 689375.

It is an arithmetic number, because the mean of its divisors is an integer number (142490880).

Almost surely, 2^8134795872 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 8134795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679124480).

8134795872 is an abundant number, since it is smaller than the sum of its proper divisors (19223453088).

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

8134795872 is a wasteful number, since it uses less digits than its factorization.

8134795872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12028 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 8134795872 is about 90193.1032396602. The cubic root of 8134795872 is about 2011.1704833303.

The spelling of 8134795872 in words is "eight billion, one hundred thirty-four million, seven hundred ninety-five thousand, eight hundred seventy-two".