8121791832 has 512 divisors, whose sum is σ = 28366848000. Its totient is φ = 1873428480.

The previous prime is 8121791831. The next prime is 8121791833. The reversal of 8121791832 is 2381971218.

It is an interprime number because it is at equal distance from previous prime (8121791831) and next prime (8121791833).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121791831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71874208 + ... + 71874320.

It is an arithmetic number, because the mean of its divisors is an integer number (55404000).

Almost surely, 2^8121791832 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 8121791832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183424000).

8121791832 is an abundant number, since it is smaller than the sum of its proper divisors (20245056168).

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

8121791832 is a wasteful number, since it uses less digits than its factorization.

8121791832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 8121791832 is about 90120.9844153957. The cubic root of 8121791832 is about 2010.0982462312.

The spelling of 8121791832 in words is "eight billion, one hundred twenty-one million, seven hundred ninety-one thousand, eight hundred thirty-two".