67716936000 has 336 divisors, whose sum is σ = 276841793280. Its totient is φ = 15478041600.

The previous prime is 67716935999. The next prime is 67716936019. The reversal of 67716936000 is 63961776.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 436821 + ... + 571179.

Almost surely, 2^67716936000 is an apocalyptic number.

67716936000 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 67716936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138420896640).

67716936000 is an abundant number, since it is smaller than the sum of its proper divisors (209124857280).

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

67716936000 is a wasteful number, since it uses less digits than its factorization.

67716936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134399 (or 134376 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 67716936000 in words is "sixty-seven billion, seven hundred sixteen million, nine hundred thirty-six thousand".