667109882880 has 792 divisors, whose sum is σ = 2744168046048. Its totient is φ = 152428511232.

The previous prime is 667109882867. The next prime is 667109882903. The reversal of 667109882880 is 88288901766.

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 71 ways as a sum of consecutive naturals, for example, 235144822 + ... + 235147658.

It is an arithmetic number, because the mean of its divisors is an integer number (3464858644).

Almost surely, 2^667109882880 is an apocalyptic number.

667109882880 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 667109882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372084023024).

667109882880 is an abundant number, since it is smaller than the sum of its proper divisors (2077058163168).

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

667109882880 is an frugal number, since it uses more digits than its factorization.

667109882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 667109882880 in words is "six hundred sixty-seven billion, one hundred nine million, eight hundred eighty-two thousand, eight hundred eighty".