8157832704 has 960 divisors, whose sum is σ = 32172940800. Its totient is φ = 2006581248.

The previous prime is 8157832693. The next prime is 8157832729. The reversal of 8157832704 is 4072387518.

8157832704 is a `hidden beast` number, since 8 + 1 + 578 + 3 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8157832704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281304562 + ... + 281304590.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^8157832704 is an apocalyptic number.

8157832704 is a gapful number since it is divisible by the number (84) 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 8157832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

8157832704 is an abundant number, since it is smaller than the sum of its proper divisors (24015108096).

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

8157832704 is a wasteful number, since it uses less digits than its factorization.

8157832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8157832704 is about 90320.7213434437. The cubic root of 8157832704 is about 2013.0671640100.

The spelling of 8157832704 in words is "eight billion, one hundred fifty-seven million, eight hundred thirty-two thousand, seven hundred four".