61760340495567 has 72 divisors (see below), whose sum is σ = 104405234638848. Its totient is φ = 34462465480800.

The previous prime is 61760340495541. The next prime is 61760340495587. The reversal of 61760340495567 is 76559404306716.

It is a happy number.

61760340495567 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 0 + 34 + 0 + 49 + 556 + 7 = 666.

It is not a de Polignac number, because 61760340495567 - 2⁷ = 61760340495439 is a prime.

It is a super-2 number, since 2×61760340495567² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61760340495587) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492793842 + ... + 492919152.

Almost surely, 2^{61760340495567} is an apocalyptic number.

61760340495567 is a deficient number, since it is larger than the sum of its proper divisors (42644894143281).

61760340495567 is a wasteful number, since it uses less digits than its factorization.

61760340495567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129641 (or 129595 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 61760340495567 in words is "sixty-one trillion, seven hundred sixty billion, three hundred forty million, four hundred ninety-five thousand, five hundred sixty-seven".