71264808000 has 336 divisors, whose sum is σ = 255527488944. Its totient is φ = 18959155200.

The previous prime is 71264807989. The next prime is 71264808019. The reversal of 71264808000 is 80846217.

71264808000 is a `hidden beast` number, since 7 + 1 + 2 + 648 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39833773056 + 31431034944 = 199584^2 + 177288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40103112 + ... + 40104888.

It is an arithmetic number, because the mean of its divisors is an integer number (760498479).

Almost surely, 2^71264808000 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 71264808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127763744472).

71264808000 is an abundant number, since it is smaller than the sum of its proper divisors (184262680944).

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

71264808000 is a wasteful number, since it uses less digits than its factorization.

71264808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 71264808000 in words is "seventy-one billion, two hundred sixty-four million, eight hundred eight thousand".