71797587840 has 768 divisors, whose sum is σ = 294902726400. Its totient is φ = 16369090560.

The previous prime is 71797587817. The next prime is 71797587887. The reversal of 71797587840 is 4878579717.

71797587840 is a `hidden beast` number, since 7 + 1 + 7 + 9 + 7 + 587 + 8 + 40 = 666.

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, 54932467 + ... + 54933773.

It is an arithmetic number, because the mean of its divisors is an integer number (383987925).

Almost surely, 2^71797587840 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 71797587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147451363200).

71797587840 is an abundant number, since it is smaller than the sum of its proper divisors (223105138560).

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

71797587840 is a wasteful number, since it uses less digits than its factorization.

71797587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

It can be divided in two parts, 717975 and 87840, that added together give a triangular number (805815 = T₁₂₆₉).

The spelling of 71797587840 in words is "seventy-one billion, seven hundred ninety-seven million, five hundred eighty-seven thousand, eight hundred forty".