66653456688 has 240 divisors, whose sum is σ = 236766512640. Its totient is φ = 17578798848.

The previous prime is 66653456677. The next prime is 66653456699. The reversal of 66653456688 is 88665435666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66653456677) and next prime (66653456699).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445845 + ... + 576267.

It is an arithmetic number, because the mean of its divisors is an integer number (986527136).

Almost surely, 2^66653456688 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 66653456688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118383256320).

66653456688 is an abundant number, since it is smaller than the sum of its proper divisors (170113055952).

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

66653456688 is a wasteful number, since it uses less digits than its factorization.

66653456688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130473 (or 130448 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 66653456688 in words is "sixty-six billion, six hundred fifty-three million, four hundred fifty-six thousand, six hundred eighty-eight".