68346685440 has 864 divisors, whose sum is σ = 271202087520. Its totient is φ = 16495902720.

The previous prime is 68346685427. The next prime is 68346685513. The reversal of 68346685440 is 4458664386.

68346685440 is a `hidden beast` number, since 6 + 8 + 34 + 6 + 68 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 71 ways as a sum of consecutive naturals, for example, 301086607 + ... + 301086833.

It is an arithmetic number, because the mean of its divisors is an integer number (313891305).

Almost surely, 2^68346685440 is an apocalyptic number.

68346685440 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 68346685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135601043760).

68346685440 is an abundant number, since it is smaller than the sum of its proper divisors (202855402080).

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

68346685440 is a wasteful number, since it uses less digits than its factorization.

68346685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 68346685440 in words is "sixty-eight billion, three hundred forty-six million, six hundred eighty-five thousand, four hundred forty".