61791328224 has 480 divisors, whose sum is σ = 198641963520. Its totient is φ = 18783249408.

The previous prime is 61791328163. The next prime is 61791328231. The reversal of 61791328224 is 42282319716.

61791328224 is a `hidden beast` number, since 6 + 17 + 91 + 328 + 224 = 666.

61791328224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61791328224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178072819 + ... + 178073165.

It is an arithmetic number, because the mean of its divisors is an integer number (413837424).

Almost surely, 2^61791328224 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 61791328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99320981760).

61791328224 is an abundant number, since it is smaller than the sum of its proper divisors (136850635296).

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

61791328224 is a wasteful number, since it uses less digits than its factorization.

61791328224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 61791328224 in words is "sixty-one billion, seven hundred ninety-one million, three hundred twenty-eight thousand, two hundred twenty-four".