71865636480 has 1344 divisors, whose sum is σ = 302483815200. Its totient is φ = 16258682880.

The previous prime is 71865636457. The next prime is 71865636481. The reversal of 71865636480 is 8463656817.

71865636480 is a `hidden beast` number, since 7 + 1 + 86 + 56 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71865636481) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1072621407 + ... + 1072621473.

Almost surely, 2^71865636480 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 71865636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151241907600).

71865636480 is an abundant number, since it is smaller than the sum of its proper divisors (230618178720).

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

71865636480 is a wasteful number, since it uses less digits than its factorization.

71865636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 71865636480 in words is "seventy-one billion, eight hundred sixty-five million, six hundred thirty-six thousand, four hundred eighty".