71683587360 has 960 divisors, whose sum is σ = 326415640320. Its totient is φ = 14375854080.

The previous prime is 71683587359. The next prime is 71683587373. The reversal of 71683587360 is 6378538617.

71683587360 is a `hidden beast` number, since 7 + 168 + 358 + 73 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71683587297 and 71683587306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28938442 + ... + 28940918.

It is an arithmetic number, because the mean of its divisors is an integer number (340016292).

Almost surely, 2^71683587360 is an apocalyptic number.

71683587360 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 71683587360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163207820160).

71683587360 is an abundant number, since it is smaller than the sum of its proper divisors (254732052960).

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

71683587360 is a wasteful number, since it uses less digits than its factorization.

71683587360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 71683587360 in words is "seventy-one billion, six hundred eighty-three million, five hundred eighty-seven thousand, three hundred sixty".