68131645920 has 288 divisors, whose sum is σ = 251655768000. Its totient is φ = 16685678592.

The previous prime is 68131645891. The next prime is 68131645963. The reversal of 68131645920 is 2954613186.

68131645920 is a `hidden beast` number, since 68 + 131 + 6 + 459 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 3716136 + ... + 3734424.

It is an arithmetic number, because the mean of its divisors is an integer number (873804750).

Almost surely, 2^68131645920 is an apocalyptic number.

68131645920 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 68131645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125827884000).

68131645920 is an abundant number, since it is smaller than the sum of its proper divisors (183524122080).

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

68131645920 is a wasteful number, since it uses less digits than its factorization.

68131645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18522 (or 18511 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 68131645920 in words is "sixty-eight billion, one hundred thirty-one million, six hundred forty-five thousand, nine hundred twenty".