61068100896 has 144 divisors (see below), whose sum is σ = 189546503328. Its totient is φ = 18496051200.

The previous prime is 61068100867. The next prime is 61068100901. The reversal of 61068100896 is 69800186016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8572216 + ... + 8579336.

It is an arithmetic number, because the mean of its divisors is an integer number (1316295162).

Almost surely, 2^61068100896 is an apocalyptic number.

61068100896 is a gapful number since it is divisible by the number (66) 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 61068100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94773251664).

61068100896 is an abundant number, since it is smaller than the sum of its proper divisors (128478402432).

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

61068100896 is a wasteful number, since it uses less digits than its factorization.

61068100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 61068100896 in words is "sixty-one billion, sixty-eight million, one hundred thousand, eight hundred ninety-six".