667746832896 has 960 divisors, whose sum is σ = 2368214424576. Its totient is φ = 178362777600.

The previous prime is 667746832889. The next prime is 667746832913. The reversal of 667746832896 is 698238647766.

667746832896 is a `hidden beast` number, since 6 + 6 + 77 + 468 + 3 + 2 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1981444440 + ... + 1981444776.

Almost surely, 2^667746832896 is an apocalyptic number.

667746832896 is a gapful number since it is divisible by the number (66) 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 667746832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184107212288).

667746832896 is an abundant number, since it is smaller than the sum of its proper divisors (1700467591680).

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

667746832896 is a wasteful number, since it uses less digits than its factorization.

667746832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 667746832896 in words is "six hundred sixty-seven billion, seven hundred forty-six million, eight hundred thirty-two thousand, eight hundred ninety-six".