8191272960 has 768 divisors, whose sum is σ = 32691859200. Its totient is φ = 1932263424.

The previous prime is 8191272949. The next prime is 8191272983. The reversal of 8191272960 is 692721918.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154552294 + ... + 154552346.

It is an arithmetic number, because the mean of its divisors is an integer number (42567525).

Almost surely, 2^8191272960 is an apocalyptic number.

8191272960 is a gapful number since it is divisible by the number (80) 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 8191272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

8191272960 is an abundant number, since it is smaller than the sum of its proper divisors (24500586240).

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

8191272960 is a wasteful number, since it uses less digits than its factorization.

8191272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 8191272960 is about 90505.6515362439. The cubic root of 8191272960 is about 2015.8140418044.

The spelling of 8191272960 in words is "eight billion, one hundred ninety-one million, two hundred seventy-two thousand, nine hundred sixty".