71461899360 has 288 divisors, whose sum is σ = 252137733120. Its totient is φ = 18411955200.

The previous prime is 71461899317. The next prime is 71461899373. The reversal of 71461899360 is 6399816417.

71461899360 is a `hidden beast` number, since 7 + 14 + 618 + 9 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 71461899297 and 71461899306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45487375 + ... + 45488945.

It is an arithmetic number, because the mean of its divisors is an integer number (875478240).

Almost surely, 2^71461899360 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 71461899360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126068866560).

71461899360 is an abundant number, since it is smaller than the sum of its proper divisors (180675833760).

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

71461899360 is a wasteful number, since it uses less digits than its factorization.

71461899360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 71461899360 in words is "seventy-one billion, four hundred sixty-one million, eight hundred ninety-nine thousand, three hundred sixty".