66000002688 has 320 divisors, whose sum is σ = 209419056000. Its totient is φ = 20573429760.

The previous prime is 66000002681. The next prime is 66000002723. The reversal of 66000002688 is 88620000066.

66000002688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66000002681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15560248 + ... + 15564488.

It is an arithmetic number, because the mean of its divisors is an integer number (654434550).

Almost surely, 2^66000002688 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 66000002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104709528000).

66000002688 is an abundant number, since it is smaller than the sum of its proper divisors (143419053312).

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

66000002688 is a wasteful number, since it uses less digits than its factorization.

66000002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 66000002688 in words is "sixty-six billion, two thousand, six hundred eighty-eight".