71765254642064 has 80 divisors (see below), whose sum is σ = 141334767161136. Its totient is φ = 35296445184000.

The previous prime is 71765254642001. The next prime is 71765254642069. The reversal of 71765254642064 is 46024645256717.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1154980090000 + 70610274552064 = 1074700^2 + 8402992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71765254641994 and 71765254642012.

It is not an unprimeable number, because it can be changed into a prime (71765254642069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735255954 + ... + 2735282190.

Almost surely, 2^{71765254642064} is an apocalyptic number.

It is an amenable number.

71765254642064 is a deficient number, since it is larger than the sum of its proper divisors (69569512519072).

71765254642064 is a wasteful number, since it uses less digits than its factorization.

71765254642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37284 (or 37278 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 59.

The spelling of 71765254642064 in words is "seventy-one trillion, seven hundred sixty-five billion, two hundred fifty-four million, six hundred forty-two thousand, sixty-four".