66880888704 has 480 divisors, whose sum is σ = 236542822560. Its totient is φ = 18695577600.

The previous prime is 66880888703. The next prime is 66880888729. The reversal of 66880888704 is 40788808866.

66880888704 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66880888703) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23876104 + ... + 23878904.

It is an arithmetic number, because the mean of its divisors is an integer number (492797547).

Almost surely, 2^66880888704 is an apocalyptic number.

66880888704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66880888704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118271411280).

66880888704 is an abundant number, since it is smaller than the sum of its proper divisors (169661933856).

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

66880888704 is a wasteful number, since it uses less digits than its factorization.

66880888704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 66880888704 in words is "sixty-six billion, eight hundred eighty million, eight hundred eighty-eight thousand, seven hundred four".