71517066264 has 160 divisors (see below), whose sum is σ = 229309132800. Its totient is φ = 20399636160.

The previous prime is 71517066263. The next prime is 71517066289. The reversal of 71517066264 is 46266071517.

71517066264 is a `hidden beast` number, since 7 + 1 + 5 + 17 + 0 + 6 + 626 + 4 = 666.

It is a super-2 number, since 2×71517066264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71517066263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2795049 + ... + 2820519.

It is an arithmetic number, because the mean of its divisors is an integer number (1433182080).

Almost surely, 2^71517066264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71517066264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114654566400).

71517066264 is an abundant number, since it is smaller than the sum of its proper divisors (157792066536).

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

71517066264 is a wasteful number, since it uses less digits than its factorization.

71517066264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26115 (or 26102 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 71517066264 in words is "seventy-one billion, five hundred seventeen million, sixty-six thousand, two hundred sixty-four".