68002382582784 has 264 divisors, whose sum is σ = 211482006750560. Its totient is φ = 20921599475712.

The previous prime is 68002382582737. The next prime is 68002382582903. The reversal of 68002382582784 is 48728528320086.

68002382582784 is a `hidden beast` number, since 6 + 80 + 0 + 2 + 38 + 258 + 278 + 4 = 666.

It is a super-2 number, since 2×68002382582784² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411194339 + ... + 1411242525.

Almost surely, 2^{68002382582784} is an apocalyptic number.

68002382582784 is a gapful number since it is divisible by the number (64) 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 68002382582784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105741003375280).

68002382582784 is an abundant number, since it is smaller than the sum of its proper divisors (143479624167776).

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

68002382582784 is a wasteful number, since it uses less digits than its factorization.

68002382582784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60005 (or 59984 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 68002382582784 in words is "sixty-eight trillion, two billion, three hundred eighty-two million, five hundred eighty-two thousand, seven hundred eighty-four".