61760048340375 has 192 divisors, whose sum is σ = 138835180763136. Its totient is φ = 25660841472000.

The previous prime is 61760048340371. The next prime is 61760048340443. The reversal of 61760048340375 is 57304384006716.

It is a happy number.

61760048340375 is a `hidden beast` number, since 61 + 7 + 60 + 0 + 483 + 40 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 61760048340375 - 2² = 61760048340371 is a prime.

It is a super-3 number, since 3×61760048340375³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61760048340371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403855927 + ... + 404008823.

It is an arithmetic number, because the mean of its divisors is an integer number (723099899808).

Almost surely, 2^{61760048340375} is an apocalyptic number.

61760048340375 is an abundant number, since it is smaller than the sum of its proper divisors (77075132422761).

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

61760048340375 is a wasteful number, since it uses less digits than its factorization.

61760048340375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157599 (or 157586 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 61760048340375 in words is "sixty-one trillion, seven hundred sixty billion, forty-eight million, three hundred forty thousand, three hundred seventy-five".