66946028526 has 256 divisors, whose sum is σ = 173224396800. Its totient is φ = 18982066176.

The previous prime is 66946028507. The next prime is 66946028537. The reversal of 66946028526 is 62582064966.

It is a happy number.

66946028526 is a `hidden beast` number, since 6 + 6 + 9 + 4 + 602 + 8 + 5 + 26 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131524360 + ... + 131524868.

It is an arithmetic number, because the mean of its divisors is an integer number (676657800).

Almost surely, 2^66946028526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66946028526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86612198400).

66946028526 is an abundant number, since it is smaller than the sum of its proper divisors (106278368274).

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

66946028526 is a wasteful number, since it uses less digits than its factorization.

66946028526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 66946028526 in words is "sixty-six billion, nine hundred forty-six million, twenty-eight thousand, five hundred twenty-six".