68357667840 has 704 divisors, whose sum is σ = 282128348160. Its totient is φ = 13707509760.

The previous prime is 68357667817. The next prime is 68357667841. The reversal of 68357667840 is 4876675386.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68357667841) 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 63 ways as a sum of consecutive naturals, for example, 34297884 + ... + 34299876.

Almost surely, 2^68357667840 is an apocalyptic number.

68357667840 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 68357667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141064174080).

68357667840 is an abundant number, since it is smaller than the sum of its proper divisors (213770680320).

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

68357667840 is a wasteful number, since it uses less digits than its factorization.

68357667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 68357667840 in words is "sixty-eight billion, three hundred fifty-seven million, six hundred sixty-seven thousand, eight hundred forty".