4066784575056 has 560 divisors, whose sum is σ = 14702186083200. Its totient is φ = 1062813975552.

The previous prime is 4066784574989. The next prime is 4066784575069. The reversal of 4066784575056 is 6505754876604.

4066784575056 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 7 + 8 + 4 + 575 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4066784574984 and 4066784575002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44942850 + ... + 45033246.

It is an arithmetic number, because the mean of its divisors is an integer number (26253903720).

Almost surely, 2^{4066784575056} 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 4066784575056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351093041600).

4066784575056 is an abundant number, since it is smaller than the sum of its proper divisors (10635401508144).

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

4066784575056 is a wasteful number, since it uses less digits than its factorization.

4066784575056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90478 (or 90457 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 4066784575056 in words is "four trillion, sixty-six billion, seven hundred eighty-four million, five hundred seventy-five thousand, fifty-six".