68561095680 has 1760 divisors, whose sum is σ = 325282383360. Its totient is φ = 13377208320.

The previous prime is 68561095667. The next prime is 68561095721. The reversal of 68561095680 is 8659016586.

It is a happy number.

68561095680 is a `hidden beast` number, since 68 + 5 + 6 + 10 + 9 + 568 + 0 = 666.

68561095680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×68561095680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 606735304 + ... + 606735416.

It is an arithmetic number, because the mean of its divisors is an integer number (184819536).

Almost surely, 2^68561095680 is an apocalyptic number.

68561095680 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 68561095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162641191680).

68561095680 is an abundant number, since it is smaller than the sum of its proper divisors (256721287680).

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

68561095680 is a wasteful number, since it uses less digits than its factorization.

68561095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 68561095680 in words is "sixty-eight billion, five hundred sixty-one million, ninety-five thousand, six hundred eighty".