61635989705472 has 1080 divisors, whose sum is σ = 230481929096496. Its totient is φ = 16238509572096.

The previous prime is 61635989705449. The next prime is 61635989705503. The reversal of 61635989705472 is 27450798953616.

61635989705472 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 5 + 9 + 8 + 9 + 70 + 547 + 2 = 666.

It is a super-2 number, since 2×61635989705472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 61635989705472.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16946929638 + ... + 16946933274.

It is a 1-persistent number, because it is pandigital, but 2⋅61635989705472 = 123271979410944 is not.

Almost surely, 2^{61635989705472} 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 61635989705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240964548248).

61635989705472 is an abundant number, since it is smaller than the sum of its proper divisors (168845939391024).

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

61635989705472 is a wasteful number, since it uses less digits than its factorization.

61635989705472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 61635989705472 in words is "sixty-one trillion, six hundred thirty-five billion, nine hundred eighty-nine million, seven hundred five thousand, four hundred seventy-two".