71599020768 has 384 divisors, whose sum is σ = 244238561280. Its totient is φ = 20416665600.

The previous prime is 71599020749. The next prime is 71599020803. The reversal of 71599020768 is 86702099517.

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

It is a congruent 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, 13084273 + ... + 13089743.

It is an arithmetic number, because the mean of its divisors is an integer number (636037920).

Almost surely, 2^71599020768 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 71599020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122119280640).

71599020768 is an abundant number, since it is smaller than the sum of its proper divisors (172639540512).

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

71599020768 is a wasteful number, since it uses less digits than its factorization.

71599020768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 71599020768 in words is "seventy-one billion, five hundred ninety-nine million, twenty thousand, seven hundred sixty-eight".