67607730319680 has 140 divisors (see below), whose sum is σ = 240492590791860. Its totient is φ = 18028728078336.

The previous prime is 67607730319673. The next prime is 67607730319693. The reversal of 67607730319680 is 8691303770676.

67607730319680 is a `hidden beast` number, since 6 + 7 + 60 + 7 + 7 + 303 + 196 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18857618911296 + 48750111408384 = 4342536^2 + 6982128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1304135545 + ... + 1304187384.

Almost surely, 2^{67607730319680} is an apocalyptic number.

67607730319680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67607730319680 is an abundant number, since it is smaller than the sum of its proper divisors (172884860472180).

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

67607730319680 is a wasteful number, since it uses less digits than its factorization.

67607730319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608322958 (or 2608322939 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 67607730319680 in words is "sixty-seven trillion, six hundred seven billion, seven hundred thirty million, three hundred nineteen thousand, six hundred eighty".