8166748464 has 360 divisors, whose sum is σ = 27835338960. Its totient is φ = 2225857536.

The previous prime is 8166748423. The next prime is 8166748489. The reversal of 8166748464 is 4648476618.

8166748464 is a `hidden beast` number, since 81 + 6 + 67 + 48 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8166748464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21894582 + ... + 21894954.

It is an arithmetic number, because the mean of its divisors is an integer number (77320386).

Almost surely, 2^8166748464 is an apocalyptic number.

8166748464 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 8166748464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917669480).

8166748464 is an abundant number, since it is smaller than the sum of its proper divisors (19668590496).

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

8166748464 is a wasteful number, since it uses less digits than its factorization.

8166748464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8166748464 is about 90370.0639813871. The cubic root of 8166748464 is about 2013.8002626897.

The spelling of 8166748464 in words is "eight billion, one hundred sixty-six million, seven hundred forty-eight thousand, four hundred sixty-four".