61106777436672 has 560 divisors, whose sum is σ = 200181409132320. Its totient is φ = 18472491417600.

The previous prime is 61106777436667. The next prime is 61106777436689. The reversal of 61106777436672 is 27663477760116.

61106777436672 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 67 + 77 + 436 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1720282272 + ... + 1720317792.

It is an arithmetic number, because the mean of its divisors is an integer number (357466802022).

Almost surely, 2^{61106777436672} 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 61106777436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100090704566160).

61106777436672 is an abundant number, since it is smaller than the sum of its proper divisors (139074631695648).

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

61106777436672 is an equidigital number, since it uses as much as digits as its factorization.

61106777436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35987 (or 35956 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 61106777436672 in words is "sixty-one trillion, one hundred six billion, seven hundred seventy-seven million, four hundred thirty-six thousand, six hundred seventy-two".