66671928960 has 1024 divisors, whose sum is σ = 279527915520. Its totient is φ = 13131841536.

The previous prime is 66671928871. The next prime is 66671928971. The reversal of 66671928960 is 6982917666.

66671928960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66671928960² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 = 66671928894 and 66671928903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188872144 + ... + 188872496.

It is an arithmetic number, because the mean of its divisors is an integer number (272976480).

Almost surely, 2^66671928960 is an apocalyptic number.

66671928960 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 66671928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139763957760).

66671928960 is an abundant number, since it is smaller than the sum of its proper divisors (212855986560).

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

66671928960 is a wasteful number, since it uses less digits than its factorization.

66671928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 66671928960 in words is "sixty-six billion, six hundred seventy-one million, nine hundred twenty-eight thousand, nine hundred sixty".