68920135251968 has 768 divisors, whose sum is σ = 189089185259520. Its totient is φ = 24247517184000.

The previous prime is 68920135251941. The next prime is 68920135252027. The reversal of 68920135251968 is 86915253102986.

68920135251968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×68920135251968³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20740333955 + ... + 20740337277.

It is an arithmetic number, because the mean of its divisors is an integer number (246209876640).

Almost surely, 2^{68920135251968} 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 68920135251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94544592629760).

68920135251968 is an abundant number, since it is smaller than the sum of its proper divisors (120169050007552).

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

68920135251968 is a wasteful number, since it uses less digits than its factorization.

68920135251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 65.

The spelling of 68920135251968 in words is "sixty-eight trillion, nine hundred twenty billion, one hundred thirty-five million, two hundred fifty-one thousand, nine hundred sixty-eight".