71808937992 has 512 divisors, whose sum is σ = 238542796800. Its totient is φ = 19768320000.

The previous prime is 71808937987. The next prime is 71808937999. The reversal of 71808937992 is 29973980817.

71808937992 is a `hidden beast` number, since 7 + 180 + 89 + 379 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (71808937999) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216945267 + ... + 216945597.

It is an arithmetic number, because the mean of its divisors is an integer number (465903900).

Almost surely, 2^71808937992 is an apocalyptic number.

71808937992 is a gapful number since it is divisible by the number (72) 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 71808937992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119271398400).

71808937992 is an abundant number, since it is smaller than the sum of its proper divisors (166733858808).

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

71808937992 is a wasteful number, since it uses less digits than its factorization.

71808937992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 71808937992 in words is "seventy-one billion, eight hundred eight million, nine hundred thirty-seven thousand, nine hundred ninety-two".