8066608246800 has 480 divisors, whose sum is σ = 29269212364800. Its totient is φ = 2109330063360.

The previous prime is 8066608246793. The next prime is 8066608246819. The reversal of 8066608246800 is 86428066608.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1575814641 + ... + 1575819759.

It is an arithmetic number, because the mean of its divisors is an integer number (60977525760).

Almost surely, 2^{8066608246800} is an apocalyptic number.

8066608246800 is a gapful number since it is divisible by the number (80) 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 8066608246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634606182400).

8066608246800 is an abundant number, since it is smaller than the sum of its proper divisors (21202604118000).

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

8066608246800 is a wasteful number, since it uses less digits than its factorization.

8066608246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 8066608246800 in words is "eight trillion, sixty-six billion, six hundred eight million, two hundred forty-six thousand, eight hundred".