61528068672 has 112 divisors (see below), whose sum is σ = 186136922112. Its totient is φ = 17571156480.

The previous prime is 61528068593. The next prime is 61528068691. The reversal of 61528068672 is 27686082516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 3193147 + ... + 3212357.

Almost surely, 2^61528068672 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 61528068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93068461056).

61528068672 is an abundant number, since it is smaller than the sum of its proper divisors (124608853440).

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

61528068672 is a wasteful number, since it uses less digits than its factorization.

61528068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21616 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 61528068672 in words is "sixty-one billion, five hundred twenty-eight million, sixty-eight thousand, six hundred seventy-two".