667934760960 has 392 divisors, whose sum is σ = 2403426402180. Its totient is φ = 178107973632.

The previous prime is 667934760959. The next prime is 667934760989. The reversal of 667934760960 is 69067439766.

667934760960 is a `hidden beast` number, since 6 + 6 + 79 + 3 + 476 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 662413676544 + 5521084416 = 813888^2 + 74304^2 .

It is a super-2 number, since 2×667934760960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29848656 + ... + 29871024.

Almost surely, 2^667934760960 is an apocalyptic number.

667934760960 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 667934760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201713201090).

667934760960 is an abundant number, since it is smaller than the sum of its proper divisors (1735491641220).

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

667934760960 is an frugal number, since it uses more digits than its factorization.

667934760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 667934760960 in words is "six hundred sixty-seven billion, nine hundred thirty-four million, seven hundred sixty thousand, nine hundred sixty".