66672038160 has 960 divisors, whose sum is σ = 296272704000. Its totient is φ = 13314502656.

The previous prime is 66672038131. The next prime is 66672038197. The reversal of 66672038160 is 6183027666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60998574 + ... + 60999666.

It is an arithmetic number, because the mean of its divisors is an integer number (308617400).

Almost surely, 2^66672038160 is an apocalyptic number.

66672038160 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 66672038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148136352000).

66672038160 is an abundant number, since it is smaller than the sum of its proper divisors (229600665840).

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

66672038160 is a wasteful number, since it uses less digits than its factorization.

66672038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 66672038160 in words is "sixty-six billion, six hundred seventy-two million, thirty-eight thousand, one hundred sixty".