8166910752 has 1152 divisors, whose sum is σ = 34749388800. Its totient is φ = 1828915200.

The previous prime is 8166910699. The next prime is 8166910793. The reversal of 8166910752 is 2570196618.

It is a super-2 number, since 2×8166910752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8166910698 and 8166910707.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115026877 + ... + 115026947.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^8166910752 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 8166910752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

8166910752 is an abundant number, since it is smaller than the sum of its proper divisors (26582478048).

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

8166910752 is a wasteful number, since it uses less digits than its factorization.

8166910752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8166910752 is about 90370.9618848887. The cubic root of 8166910752 is about 2013.8136018807.

The spelling of 8166910752 in words is "eight billion, one hundred sixty-six million, nine hundred ten thousand, seven hundred fifty-two".