71797648000 has 128 divisors (see below), whose sum is σ = 192238759440. Its totient is φ = 26509824000.

The previous prime is 71797647983. The next prime is 71797648007. The reversal of 71797648000 is 84679717.

It can be written as a sum of positive squares in 8 ways, for example, as 200732224 + 71596915776 = 14168^2 + 267576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (71797648007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35410 + ... + 380590.

Almost surely, 2^71797648000 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 71797648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96119379720).

71797648000 is an abundant number, since it is smaller than the sum of its proper divisors (120441111440).

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

71797648000 is a wasteful number, since it uses less digits than its factorization.

71797648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345223 (or 345201 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The spelling of 71797648000 in words is "seventy-one billion, seven hundred ninety-seven million, six hundred forty-eight thousand".