61632252784 has 40 divisors (see below), whose sum is σ = 123773328000. Its totient is φ = 29694932736.

The previous prime is 61632252779. The next prime is 61632252811. The reversal of 61632252784 is 48725223616.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 105697 + ... + 366655.

It is an arithmetic number, because the mean of its divisors is an integer number (3094333200).

Almost surely, 2^61632252784 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 61632252784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61886664000).

61632252784 is an abundant number, since it is smaller than the sum of its proper divisors (62141075216).

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

61632252784 is a wasteful number, since it uses less digits than its factorization.

61632252784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261505 (or 261499 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 61632252784 in words is "sixty-one billion, six hundred thirty-two million, two hundred fifty-two thousand, seven hundred eighty-four".