8166768464 has 160 divisors (see below), whose sum is σ = 17515069440. Its totient is φ = 3679603200.

The previous prime is 8166768451. The next prime is 8166768479. The reversal of 8166768464 is 4648676618.

It is a super-2 number, since 2×8166768464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62341679 + ... + 62341809.

It is an arithmetic number, because the mean of its divisors is an integer number (109469184).

Almost surely, 2^8166768464 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 8166768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757534720).

8166768464 is an abundant number, since it is smaller than the sum of its proper divisors (9348300976).

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

8166768464 is a wasteful number, since it uses less digits than its factorization.

8166768464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The square root of 8166768464 is about 90370.1746374322. The cubic root of 8166768464 is about 2013.8019065904.

The spelling of 8166768464 in words is "eight billion, one hundred sixty-six million, seven hundred sixty-eight thousand, four hundred sixty-four".