8068166562600 has 480 divisors, whose sum is σ = 29783270088000. Its totient is φ = 2018476661760.

The previous prime is 8068166562583. The next prime is 8068166562647. The reversal of 8068166562600 is 62656618608.

It is a happy number.

8068166562600 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 1 + 6 + 6 + 5 + 626 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31576156 + ... + 31830644.

It is an arithmetic number, because the mean of its divisors is an integer number (62048479350).

Almost surely, 2^{8068166562600} 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 8068166562600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891635044000).

8068166562600 is an abundant number, since it is smaller than the sum of its proper divisors (21715103525400).

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

8068166562600 is a wasteful number, since it uses less digits than its factorization.

8068166562600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254639 (or 254621 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 8068166562600 in words is "eight trillion, sixty-eight billion, one hundred sixty-six million, five hundred sixty-two thousand, six hundred".