61736350528656 has 120 divisors (see below), whose sum is σ = 177543669049344. Its totient is φ = 20011540942080.

The previous prime is 61736350528577. The next prime is 61736350528667. The reversal of 61736350528656 is 65682505363716.

61736350528656 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 6 + 3 + 50 + 528 + 6 + 56 = 666.

It is a super-2 number, since 2×61736350528656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61736350528593 and 61736350528602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6449905 + ... + 12848111.

Almost surely, 2^{61736350528656} 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 61736350528656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88771834524672).

61736350528656 is an abundant number, since it is smaller than the sum of its proper divisors (115807318520688).

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

61736350528656 is a wasteful number, since it uses less digits than its factorization.

61736350528656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400069 (or 6400060 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 61736350528656 in words is "sixty-one trillion, seven hundred thirty-six billion, three hundred fifty million, five hundred twenty-eight thousand, six hundred fifty-six".