667794606336 has 1152 divisors, whose sum is σ = 2477916672000. Its totient is φ = 176561233920.

The previous prime is 667794606329. The next prime is 667794606337. The reversal of 667794606336 is 633606497766.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×667794606336² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (667794606337) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1521172005 + ... + 1521172443.

Almost surely, 2^667794606336 is an apocalyptic number.

667794606336 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 667794606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238958336000).

667794606336 is an abundant number, since it is smaller than the sum of its proper divisors (1810122065664).

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

667794606336 is a wasteful number, since it uses less digits than its factorization.

667794606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 667794606336 in words is "six hundred sixty-seven billion, seven hundred ninety-four million, six hundred six thousand, three hundred thirty-six".