666872088960 has 512 divisors, whose sum is σ = 2653146316800. Its totient is φ = 138415104000.

The previous prime is 666872088959. The next prime is 666872088983. The reversal of 666872088960 is 69880278666.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 666872088891 and 666872088900.

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, 170161881 + ... + 170165799.

It is an arithmetic number, because the mean of its divisors is an integer number (5181926400).

Almost surely, 2^666872088960 is an apocalyptic number.

666872088960 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 666872088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326573158400).

666872088960 is an abundant number, since it is smaller than the sum of its proper divisors (1986274227840).

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

666872088960 is a wasteful number, since it uses less digits than its factorization.

666872088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 666872088960 in words is "six hundred sixty-six billion, eight hundred seventy-two million, eighty-eight thousand, nine hundred sixty".