61068100944 has 320 divisors, whose sum is σ = 180759859200. Its totient is φ = 17649156096.

The previous prime is 61068100943. The next prime is 61068100967. The reversal of 61068100944 is 44900186016.

61068100944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61068100944² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61068100943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89411227 + ... + 89411909.

It is an arithmetic number, because the mean of its divisors is an integer number (564874560).

Almost surely, 2^61068100944 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 61068100944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90379929600).

61068100944 is an abundant number, since it is smaller than the sum of its proper divisors (119691758256).

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

61068100944 is a wasteful number, since it uses less digits than its factorization.

61068100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 61068100944 in words is "sixty-one billion, sixty-eight million, one hundred thousand, nine hundred forty-four".