71561486304 has 648 divisors, whose sum is σ = 272769515928. Its totient is φ = 17595325440.

The previous prime is 71561486263. The next prime is 71561486329. The reversal of 71561486304 is 40368416517.

71561486304 is a `hidden beast` number, since 7 + 1 + 5 + 6 + 1 + 4 + 8 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71561486304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56038114 + ... + 56039390.

It is an arithmetic number, because the mean of its divisors is an integer number (420940611).

Almost surely, 2^71561486304 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 71561486304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136384757964).

71561486304 is an abundant number, since it is smaller than the sum of its proper divisors (201208029624).

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

71561486304 is a wasteful number, since it uses less digits than its factorization.

71561486304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71561486304 in words is "seventy-one billion, five hundred sixty-one million, four hundred eighty-six thousand, three hundred four".