71480914560 has 768 divisors, whose sum is σ = 294783753600. Its totient is φ = 16301260800.

The previous prime is 71480914541. The next prime is 71480914597. The reversal of 71480914560 is 6541908417.

71480914560 is a `hidden beast` number, since 7 + 1 + 4 + 80 + 9 + 1 + 4 + 560 = 666.

It is a super-2 number, since 2×71480914560² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35543955 + ... + 35545965.

Almost surely, 2^71480914560 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 71480914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147391876800).

71480914560 is an abundant number, since it is smaller than the sum of its proper divisors (223302839040).

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

71480914560 is a wasteful number, since it uses less digits than its factorization.

71480914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 71480914560 in words is "seventy-one billion, four hundred eighty million, nine hundred fourteen thousand, five hundred sixty".