71640875856 has 240 divisors, whose sum is σ = 220285811520. Its totient is φ = 19878543360.

The previous prime is 71640875773. The next prime is 71640875861. The reversal of 71640875856 is 65857804617.

71640875856 = T₂₂₁ + T₂₂₂ + ... + T₇₅₄₆.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71640875796 and 71640875805.

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, 5639560 + ... + 5652248.

It is an arithmetic number, because the mean of its divisors is an integer number (917857548).

Almost surely, 2^71640875856 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 71640875856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110142905760).

71640875856 is an abundant number, since it is smaller than the sum of its proper divisors (148644935664).

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

71640875856 is a wasteful number, since it uses less digits than its factorization.

71640875856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 71640875856 in words is "seventy-one billion, six hundred forty million, eight hundred seventy-five thousand, eight hundred fifty-six".