71367082560 has 896 divisors, whose sum is σ = 284414976000. Its totient is φ = 16740089856.

The previous prime is 71367082463. The next prime is 71367082561. The reversal of 71367082560 is 6528076317.

71367082560 is a `hidden beast` number, since 7 + 1 + 3 + 6 + 7 + 0 + 82 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71367082561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 298606921 + ... + 298607159.

Almost surely, 2^71367082560 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 71367082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142207488000).

71367082560 is an abundant number, since it is smaller than the sum of its proper divisors (213047893440).

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

71367082560 is a wasteful number, since it uses less digits than its factorization.

71367082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

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

The spelling of 71367082560 in words is "seventy-one billion, three hundred sixty-seven million, eighty-two thousand, five hundred sixty".