68514782847840 has 1536 divisors, whose sum is σ = 294266045767680. Its totient is φ = 14733322813440.

The previous prime is 68514782847757. The next prime is 68514782847851. The reversal of 68514782847840 is 4874828741586.

68514782847840 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 478 + 2 + 84 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3436554352 + ... + 3436574288.

It is an arithmetic number, because the mean of its divisors is an integer number (191579456880).

Almost surely, 2^{68514782847840} is an apocalyptic number.

68514782847840 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 68514782847840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147133022883840).

68514782847840 is an abundant number, since it is smaller than the sum of its proper divisors (225751262919840).

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

68514782847840 is a wasteful number, since it uses less digits than its factorization.

68514782847840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 68514782847840 in words is "sixty-eight trillion, five hundred fourteen billion, seven hundred eighty-two million, eight hundred forty-seven thousand, eight hundred forty".