61553657071764 has 864 divisors, whose sum is σ = 193260827934720. Its totient is φ = 17015358286080.

The previous prime is 61553657071757. The next prime is 61553657071799. The reversal of 61553657071764 is 46717075635516.

61553657071764 is a `hidden beast` number, since 6 + 1 + 5 + 53 + 6 + 570 + 7 + 1 + 7 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69709690467 + ... + 69709691349.

Almost surely, 2^{61553657071764} 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 61553657071764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96630413967360).

61553657071764 is an abundant number, since it is smaller than the sum of its proper divisors (131707170862956).

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

61553657071764 is a wasteful number, since it uses less digits than its factorization.

61553657071764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 61553657071764 in words is "sixty-one trillion, five hundred fifty-three billion, six hundred fifty-seven million, seventy-one thousand, seven hundred sixty-four".