667997997336 has 288 divisors, whose sum is σ = 1942228990800. Its totient is φ = 215350705728.

The previous prime is 667997997319. The next prime is 667997997341. The reversal of 667997997336 is 633799799766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

667997997336 is a `hidden beast` number, since 66 + 79 + 9 + 79 + 97 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3999987925 + ... + 3999988091.

Almost surely, 2^667997997336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667997997336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971114495400).

667997997336 is an abundant number, since it is smaller than the sum of its proper divisors (1274230993464).

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

667997997336 is an frugal number, since it uses more digits than its factorization.

667997997336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 209 counting only the distinct ones).

The product of its digits is 4374822312, while the sum is 81.

The spelling of 667997997336 in words is "six hundred sixty-seven billion, nine hundred ninety-seven million, nine hundred ninety-seven thousand, three hundred thirty-six".