61727677440 has 704 divisors, whose sum is σ = 234729653760. Its totient is φ = 13648527360.

The previous prime is 61727677409. The next prime is 61727677447. The reversal of 61727677440 is 4477672716.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61727677447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344847271 + ... + 344847449.

Almost surely, 2^61727677440 is an apocalyptic number.

61727677440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61727677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117364826880).

61727677440 is an abundant number, since it is smaller than the sum of its proper divisors (173001976320).

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

61727677440 is a wasteful number, since it uses less digits than its factorization.

61727677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 51.

The spelling of 61727677440 in words is "sixty-one billion, seven hundred twenty-seven million, six hundred seventy-seven thousand, four hundred forty".