71659607040 has 1056 divisors, whose sum is σ = 302431968000. Its totient is φ = 16040263680.

The previous prime is 71659607009. The next prime is 71659607053. The reversal of 71659607040 is 4070695617.

It is a happy number.

71659607040 is a `hidden beast` number, since 7 + 16 + 596 + 0 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×71659607040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480936886 + ... + 480937034.

Almost surely, 2^71659607040 is an apocalyptic number.

71659607040 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 71659607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215984000).

71659607040 is an abundant number, since it is smaller than the sum of its proper divisors (230772360960).

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

71659607040 is a wasteful number, since it uses less digits than its factorization.

71659607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 71659607040 in words is "seventy-one billion, six hundred fifty-nine million, six hundred seven thousand, forty".