667329761280 has 1872 divisors, whose sum is σ = 2889619669440. Its totient is φ = 130270887936.

The previous prime is 667329761237. The next prime is 667329761303. The reversal of 667329761280 is 82167923766.

It is a self number, because there is not a number n which added to its sum of digits gives 667329761280.

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 143 ways as a sum of consecutive naturals, for example, 11310673891 + ... + 11310673949.

Almost surely, 2^667329761280 is an apocalyptic number.

667329761280 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 667329761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444809834720).

667329761280 is an abundant number, since it is smaller than the sum of its proper divisors (2222289908160).

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

667329761280 is a wasteful number, since it uses less digits than its factorization.

667329761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 667329761280 in words is "six hundred sixty-seven billion, three hundred twenty-nine million, seven hundred sixty-one thousand, two hundred eighty".