68338294752 has 288 divisors, whose sum is σ = 225066739968. Its totient is φ = 17774235648.

The previous prime is 68338294727. The next prime is 68338294769. The reversal of 68338294752 is 25749283386.

It is a super-2 number, since 2×68338294752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68338294692 and 68338294701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8286343 + ... + 8294585.

It is an arithmetic number, because the mean of its divisors is an integer number (781481736).

Almost surely, 2^68338294752 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 68338294752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112533369984).

68338294752 is an abundant number, since it is smaller than the sum of its proper divisors (156728445216).

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

68338294752 is a wasteful number, since it uses less digits than its factorization.

68338294752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8341 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 68338294752 in words is "sixty-eight billion, three hundred thirty-eight million, two hundred ninety-four thousand, seven hundred fifty-two".