68398440768 has 448 divisors, whose sum is σ = 234020075520. Its totient is φ = 19187933184.

The previous prime is 68398440763. The next prime is 68398440769. The reversal of 68398440768 is 86704489386.

68398440768 is a `hidden beast` number, since 6 + 83 + 98 + 4 + 407 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68398440763) 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, 222796071 + ... + 222796377.

It is an arithmetic number, because the mean of its divisors is an integer number (522366240).

Almost surely, 2^68398440768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68398440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117010037760).

68398440768 is an abundant number, since it is smaller than the sum of its proper divisors (165621634752).

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

68398440768 is a wasteful number, since it uses less digits than its factorization.

68398440768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 68398440768 in words is "sixty-eight billion, three hundred ninety-eight million, four hundred forty thousand, seven hundred sixty-eight".