71449364520 has 160 divisors (see below), whose sum is σ = 240265503720. Its totient is φ = 19043942400.

The previous prime is 71449364491. The next prime is 71449364537. The reversal of 71449364520 is 2546394417.

71449364520 is a `hidden beast` number, since 71 + 44 + 93 + 6 + 452 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37296106884 + 34153257636 = 193122^2 + 184806^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9071304 + ... + 9079176.

Almost surely, 2^71449364520 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 71449364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120132751860).

71449364520 is an abundant number, since it is smaller than the sum of its proper divisors (168816139200).

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

71449364520 is a wasteful number, since it uses less digits than its factorization.

71449364520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 71449364520 in words is "seventy-one billion, four hundred forty-nine million, three hundred sixty-four thousand, five hundred twenty".