61605420471 has 288 divisors, whose sum is σ = 118313395200. Its totient is φ = 30644490240.

The previous prime is 61605420439. The next prime is 61605420473. The reversal of 61605420471 is 17402450616.

61605420471 is a `hidden beast` number, since 6 + 1 + 605 + 4 + 2 + 0 + 47 + 1 = 666.

It is not a de Polignac number, because 61605420471 - 2⁵ = 61605420439 is a prime.

It is a super-3 number, since 3×61605420471³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61605420473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 779815410 + ... + 779815488.

It is an arithmetic number, because the mean of its divisors is an integer number (410810400).

Almost surely, 2^61605420471 is an apocalyptic number.

61605420471 is a deficient number, since it is larger than the sum of its proper divisors (56707974729).

61605420471 is a wasteful number, since it uses less digits than its factorization.

61605420471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 61605420471 in words is "sixty-one billion, six hundred five million, four hundred twenty thousand, four hundred seventy-one".