67412983680 has 384 divisors, whose sum is σ = 270411710400. Its totient is φ = 15155527680.

The previous prime is 67412983679. The next prime is 67412983691. The reversal of 67412983680 is 8638921476.

67412983680 is a `hidden beast` number, since 67 + 412 + 98 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2445816 + ... + 2473224.

Almost surely, 2^67412983680 is an apocalyptic number.

67412983680 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 67412983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135205855200).

67412983680 is an abundant number, since it is smaller than the sum of its proper divisors (202998726720).

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

67412983680 is a wasteful number, since it uses less digits than its factorization.

67412983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27502 (or 27487 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 67412983680 in words is "sixty-seven billion, four hundred twelve million, nine hundred eighty-three thousand, six hundred eighty".