71027064264 has 128 divisors (see below), whose sum is σ = 195471480960. Its totient is φ = 21372069888.

The previous prime is 71027064209. The next prime is 71027064281. The reversal of 71027064264 is 46246072017.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5168907 + ... + 5182629.

It is an arithmetic number, because the mean of its divisors is an integer number (1527120945).

Almost surely, 2^71027064264 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 71027064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97735740480).

71027064264 is an abundant number, since it is smaller than the sum of its proper divisors (124444416696).

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

71027064264 is a wasteful number, since it uses less digits than its factorization.

71027064264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14107 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 71027064264 in words is "seventy-one billion, twenty-seven million, sixty-four thousand, two hundred sixty-four".