71506803840 has 256 divisors, whose sum is σ = 234872576640. Its totient is φ = 18490982400.

The previous prime is 71506803757. The next prime is 71506803871. The reversal of 71506803840 is 4830860517.

It is a super-2 number, since 2×71506803840² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71506803792 and 71506803801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23512720 + ... + 23515760.

Almost surely, 2^71506803840 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 71506803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117436288320).

71506803840 is an abundant number, since it is smaller than the sum of its proper divisors (163365772800).

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

71506803840 is a wasteful number, since it uses less digits than its factorization.

71506803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 71506803840 in words is "seventy-one billion, five hundred six million, eight hundred three thousand, eight hundred forty".