68161325760 has 672 divisors, whose sum is σ = 265188216384. Its totient is φ = 15925248000.

The previous prime is 68161325759. The next prime is 68161325833. The reversal of 68161325760 is 6752316186.

68161325760 is a `hidden beast` number, since 6 + 8 + 1 + 613 + 25 + 7 + 6 + 0 = 666.

It is a super-3 number, since 3×68161325760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125991090 + ... + 125991630.

It is an arithmetic number, because the mean of its divisors is an integer number (394625322).

Almost surely, 2^68161325760 is an apocalyptic number.

68161325760 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 68161325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132594108192).

68161325760 is an abundant number, since it is smaller than the sum of its proper divisors (197026890624).

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

68161325760 is a wasteful number, since it uses less digits than its factorization.

68161325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 68161325760 in words is "sixty-eight billion, one hundred sixty-one million, three hundred twenty-five thousand, seven hundred sixty".