61223007564 has 72 divisors (see below), whose sum is σ = 162958526640. Its totient is φ = 19327030272.

The previous prime is 61223007479. The next prime is 61223007569. The reversal of 61223007564 is 46570032216.

61223007564 is a `hidden beast` number, since 61 + 2 + 2 + 30 + 0 + 7 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61223007569) by changing a digit.

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, 2252584 + ... + 2279600.

It is an arithmetic number, because the mean of its divisors is an integer number (2263312870).

Almost surely, 2^61223007564 is an apocalyptic number.

It is an amenable number.

61223007564 is an abundant number, since it is smaller than the sum of its proper divisors (101735519076).

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

61223007564 is a wasteful number, since it uses less digits than its factorization.

61223007564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30359 (or 30354 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 61223007564 in words is "sixty-one billion, two hundred twenty-three million, seven thousand, five hundred sixty-four".