4066696476864 has 448 divisors, whose sum is σ = 13866182681600. Its totient is φ = 1159035816960.

The previous prime is 4066696476841. The next prime is 4066696476883. The reversal of 4066696476864 is 4686746966604.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4066696476792 and 4066696476801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412480767 + ... + 412490625.

Almost surely, 2^{4066696476864} 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 4066696476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933091340800).

4066696476864 is an abundant number, since it is smaller than the sum of its proper divisors (9799486204736).

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

4066696476864 is an frugal number, since it uses more digits than its factorization.

4066696476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 4066696476864 in words is "four trillion, sixty-six billion, six hundred ninety-six million, four hundred seventy-six thousand, eight hundred sixty-four".