61788636560 has 320 divisors, whose sum is σ = 182174054400. Its totient is φ = 19000590336.

The previous prime is 61788636521. The next prime is 61788636563. The reversal of 61788636560 is 6563688716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 61788636496 and 61788636505.

It is not an unprimeable number, because it can be changed into a prime (61788636563) 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 63 ways as a sum of consecutive naturals, for example, 21808904 + ... + 21811736.

It is an arithmetic number, because the mean of its divisors is an integer number (569293920).

Almost surely, 2^61788636560 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 61788636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91087027200).

61788636560 is an abundant number, since it is smaller than the sum of its proper divisors (120385417840).

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

61788636560 is a wasteful number, since it uses less digits than its factorization.

61788636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 61788636560 in words is "sixty-one billion, seven hundred eighty-eight million, six hundred thirty-six thousand, five hundred sixty".