66126466688 has 128 divisors (see below), whose sum is σ = 140532744000. Its totient is φ = 30990781440.

The previous prime is 66126466621. The next prime is 66126466697. The reversal of 66126466688 is 88666462166.

It is a happy number.

66126466688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95696423 + ... + 95697113.

Almost surely, 2^66126466688 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 66126466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70266372000).

66126466688 is an abundant number, since it is smaller than the sum of its proper divisors (74406277312).

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

66126466688 is an equidigital number, since it uses as much as digits as its factorization.

66126466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 821 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 59.

The spelling of 66126466688 in words is "sixty-six billion, one hundred twenty-six million, four hundred sixty-six thousand, six hundred eighty-eight".