71589878640 has 240 divisors, whose sum is σ = 275868343296. Its totient is φ = 16297920000.

The previous prime is 71589878639. The next prime is 71589878663. The reversal of 71589878640 is 4687898517.

71589878640 is a `hidden beast` number, since 7 + 1 + 589 + 8 + 7 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×71589878640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1236745 + ... + 1293335.

Almost surely, 2^71589878640 is an apocalyptic number.

71589878640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71589878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137934171648).

71589878640 is an abundant number, since it is smaller than the sum of its proper divisors (204278464656).

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

71589878640 is a wasteful number, since it uses less digits than its factorization.

71589878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56868 (or 56859 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 71589878640 in words is "seventy-one billion, five hundred eighty-nine million, eight hundred seventy-eight thousand, six hundred forty".