71617789264 has 30 divisors (see below), whose sum is σ = 161414075274. Its totient is φ = 30693337920.

The previous prime is 71617789249. The next prime is 71617789267. The reversal of 71617789264 is 46298771617.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 37869160000 + 33748629264 = 194600^2 + 183708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71617789199 and 71617789208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71617789267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45673827 + ... + 45675394.

Almost surely, 2^71617789264 is an apocalyptic number.

It is an amenable number.

71617789264 is an abundant number, since it is smaller than the sum of its proper divisors (89796286010).

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

71617789264 is a wasteful number, since it uses less digits than its factorization.

71617789264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91349243 (or 91349230 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 58.

The spelling of 71617789264 in words is "seventy-one billion, six hundred seventeen million, seven hundred eighty-nine thousand, two hundred sixty-four".