68824273674240 has 2352 divisors, whose sum is σ = 305125349689152. Its totient is φ = 14800543285248.

The previous prime is 68824273674217. The next prime is 68824273674259. The reversal of 68824273674240 is 4247637242886.

It is a happy number.

68824273674240 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 4 + 27 + 367 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 167 ways as a sum of consecutive naturals, for example, 24873245337 + ... + 24873248103.

Almost surely, 2^{68824273674240} is an apocalyptic number.

68824273674240 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 68824273674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152562674844576).

68824273674240 is an abundant number, since it is smaller than the sum of its proper divisors (236301076014912).

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

68824273674240 is an equidigital number, since it uses as much as digits as its factorization.

68824273674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 68824273674240 in words is "sixty-eight trillion, eight hundred twenty-four billion, two hundred seventy-three million, six hundred seventy-four thousand, two hundred forty".