71393074560 has 768 divisors, whose sum is σ = 274271961600. Its totient is φ = 17031168000.

The previous prime is 71393074547. The next prime is 71393074637. The reversal of 71393074560 is 6547039317.

71393074560 is a `hidden beast` number, since 7 + 13 + 9 + 3 + 0 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284434435 + ... + 284434685.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950).

Almost surely, 2^71393074560 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 71393074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

71393074560 is an abundant number, since it is smaller than the sum of its proper divisors (202878887040).

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

71393074560 is a wasteful number, since it uses less digits than its factorization.

71393074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 71393074560 in words is "seventy-one billion, three hundred ninety-three million, seventy-four thousand, five hundred sixty".