71797008360 has 256 divisors, whose sum is σ = 270476236800. Its totient is φ = 14811264000.

The previous prime is 71797008359. The next prime is 71797008377. The reversal of 71797008360 is 6380079717.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256410 + ... + 1312310.

It is an arithmetic number, because the mean of its divisors is an integer number (1056547800).

Almost surely, 2^71797008360 is an apocalyptic number.

71797008360 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 71797008360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135238118400).

71797008360 is an abundant number, since it is smaller than the sum of its proper divisors (198679228440).

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

71797008360 is a wasteful number, since it uses less digits than its factorization.

71797008360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56072 (or 56068 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 71797008360 in words is "seventy-one billion, seven hundred ninety-seven million, eight thousand, three hundred sixty".