68580255744 has 1440 divisors, whose sum is σ = 284691607200. Its totient is φ = 16164126720.

The previous prime is 68580255743. The next prime is 68580255791. The reversal of 68580255744 is 44755208586.

68580255744 is a `hidden beast` number, since 6 + 8 + 5 + 80 + 2 + 557 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68580255743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1162377187 + ... + 1162377245.

It is an arithmetic number, because the mean of its divisors is an integer number (197702505).

Almost surely, 2^68580255744 is an apocalyptic number.

68580255744 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 68580255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142345803600).

68580255744 is an abundant number, since it is smaller than the sum of its proper divisors (216111351456).

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

68580255744 is a wasteful number, since it uses less digits than its factorization.

68580255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 68580255744 in words is "sixty-eight billion, five hundred eighty million, two hundred fifty-five thousand, seven hundred forty-four".