61635073536 has 120 divisors (see below), whose sum is σ = 177986581344. Its totient is φ = 20533063680.

The previous prime is 61635073531. The next prime is 61635073559. The reversal of 61635073536 is 63537053616.

61635073536 is a `hidden beast` number, since 6 + 1 + 63 + 50 + 7 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61635073491 and 61635073500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61635073531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11780041 + ... + 11785271.

Almost surely, 2^61635073536 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 61635073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88993290672).

61635073536 is an abundant number, since it is smaller than the sum of its proper divisors (116351507808).

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

61635073536 is a wasteful number, since it uses less digits than its factorization.

61635073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 61635073536 in words is "sixty-one billion, six hundred thirty-five million, seventy-three thousand, five hundred thirty-six".