8292108672 has 384 divisors, whose sum is σ = 26357909760. Its totient is φ = 2589345792.

The previous prime is 8292108661. The next prime is 8292108689. The reversal of 8292108672 is 2768012928.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47931178 + ... + 47931350.

It is an arithmetic number, because the mean of its divisors is an integer number (68640390).

Almost surely, 2^8292108672 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 8292108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178954880).

8292108672 is an abundant number, since it is smaller than the sum of its proper divisors (18065801088).

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

8292108672 is a wasteful number, since it uses less digits than its factorization.

8292108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8292108672 is about 91061.0162034226. The cubic root of 8292108672 is about 2024.0519809383.

It can be divided in two parts, 8292 and 108672, that added together give a square (116964 = 342²).

The spelling of 8292108672 in words is "eight billion, two hundred ninety-two million, one hundred eight thousand, six hundred seventy-two".