68329967040 has 672 divisors, whose sum is σ = 255056518080. Its totient is φ = 17390370816.

The previous prime is 68329967029. The next prime is 68329967047. The reversal of 68329967040 is 4076992386.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68329967047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 354041184 + ... + 354041376.

It is an arithmetic number, because the mean of its divisors is an integer number (379548390).

Almost surely, 2^68329967040 is an apocalyptic number.

68329967040 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 68329967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127528259040).

68329967040 is an abundant number, since it is smaller than the sum of its proper divisors (186726551040).

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

68329967040 is a wasteful number, since it uses less digits than its factorization.

68329967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 68329967040 in words is "sixty-eight billion, three hundred twenty-nine million, nine hundred sixty-seven thousand, forty".