667377265227120 has 480 divisors, whose sum is σ = 2696347631278080. Its totient is φ = 144510672015360.

The previous prime is 667377265227119. The next prime is 667377265227157. The reversal of 667377265227120 is 21722562773766.

667377265227120 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 77 + 26 + 522 + 7 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4387359865 + ... + 4387511975.

It is an arithmetic number, because the mean of its divisors is an integer number (5617390898496).

Almost surely, 2^{667377265227120} is an apocalyptic number.

667377265227120 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 667377265227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348173815639040).

667377265227120 is an abundant number, since it is smaller than the sum of its proper divisors (2028970366050960).

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

667377265227120 is a wasteful number, since it uses less digits than its factorization.

667377265227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197973 (or 197964 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 667377265227120 in words is "six hundred sixty-seven trillion, three hundred seventy-seven billion, two hundred sixty-five million, two hundred twenty-seven thousand, one hundred twenty".