66704688960 has 448 divisors, whose sum is σ = 269080756224. Its totient is φ = 13619404800.

The previous prime is 66704688937. The next prime is 66704689031. The reversal of 66704688960 is 6988640766.

66704688960 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66704688894 and 66704688903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2695845 + ... + 2720475.

It is an arithmetic number, because the mean of its divisors is an integer number (600626688).

Almost surely, 2^66704688960 is an apocalyptic number.

66704688960 is a gapful number since it is divisible by the number (60) 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 66704688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134540378112).

66704688960 is an abundant number, since it is smaller than the sum of its proper divisors (202376067264).

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

66704688960 is a wasteful number, since it uses less digits than its factorization.

66704688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24702 (or 24692 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 66704688960 in words is "sixty-six billion, seven hundred four million, six hundred eighty-eight thousand, nine hundred sixty".