67560691680 has 384 divisors, whose sum is σ = 244404034560. Its totient is φ = 17417410560.

The previous prime is 67560691613. The next prime is 67560691721. The reversal of 67560691680 is 8619606576.

67560691680 is a `hidden beast` number, since 6 + 7 + 560 + 69 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26692015 + ... + 26694545.

It is an arithmetic number, because the mean of its divisors is an integer number (636468840).

Almost surely, 2^67560691680 is an apocalyptic number.

67560691680 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 67560691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122202017280).

67560691680 is an abundant number, since it is smaller than the sum of its proper divisors (176843342880).

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

67560691680 is a wasteful number, since it uses less digits than its factorization.

67560691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67560691680 in words is "sixty-seven billion, five hundred sixty million, six hundred ninety-one thousand, six hundred eighty".