68579784000 has 1120 divisors, whose sum is σ = 312524948736. Its totient is φ = 14457139200.

The previous prime is 68579783983. The next prime is 68579784037. The reversal of 68579784000 is 48797586.

68579784000 is a `hidden beast` number, since 68 + 579 + 7 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58967419 + ... + 58968581.

Almost surely, 2^68579784000 is an apocalyptic number.

68579784000 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 68579784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156262474368).

68579784000 is an abundant number, since it is smaller than the sum of its proper divisors (243945164736).

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

68579784000 is a wasteful number, since it uses less digits than its factorization.

68579784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 68579784000 in words is "sixty-eight billion, five hundred seventy-nine million, seven hundred eighty-four thousand".