4066804685736 has 384 divisors, whose sum is σ = 12847262238720. Its totient is φ = 1195836390144.

The previous prime is 4066804685729. The next prime is 4066804685767. The reversal of 4066804685736 is 6375864086604.

4066804685736 is a `hidden beast` number, since 4 + 0 + 66 + 80 + 468 + 5 + 7 + 36 = 666.

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, 829449861 + ... + 829454763.

It is an arithmetic number, because the mean of its divisors is an integer number (33456412080).

Almost surely, 2^{4066804685736} is an apocalyptic number.

4066804685736 is a gapful number since it is divisible by the number (46) 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 4066804685736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423631119360).

4066804685736 is an abundant number, since it is smaller than the sum of its proper divisors (8780457552984).

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

4066804685736 is a wasteful number, since it uses less digits than its factorization.

4066804685736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4066804685736 in words is "four trillion, sixty-six billion, eight hundred four million, six hundred eighty-five thousand, seven hundred thirty-six".