61928560224 has 144 divisors (see below), whose sum is σ = 177178201200. Its totient is φ = 20517977088.

The previous prime is 61928560201. The next prime is 61928560259. The reversal of 61928560224 is 42206582916.

61928560224 is a `hidden beast` number, since 6 + 19 + 2 + 8 + 5 + 602 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61928560224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51053442 + ... + 51054654.

It is an arithmetic number, because the mean of its divisors is an integer number (1230404175).

Almost surely, 2^61928560224 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 61928560224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88589100600).

61928560224 is an abundant number, since it is smaller than the sum of its proper divisors (115249640976).

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

61928560224 is a wasteful number, since it uses less digits than its factorization.

61928560224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 61928560224 in words is "sixty-one billion, nine hundred twenty-eight million, five hundred sixty thousand, two hundred twenty-four".