71274975840 has 192 divisors, whose sum is σ = 250907025600. Its totient is φ = 18896596992.

The previous prime is 71274975817. The next prime is 71274975869. The reversal of 71274975840 is 4857947217.

71274975840 is a `hidden beast` number, since 7 + 12 + 7 + 49 + 7 + 584 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699676 + ... + 795044.

It is an arithmetic number, because the mean of its divisors is an integer number (1306807425).

Almost surely, 2^71274975840 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 71274975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125453512800).

71274975840 is an abundant number, since it is smaller than the sum of its proper divisors (179632049760).

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

71274975840 is a wasteful number, since it uses less digits than its factorization.

71274975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95566 (or 95552 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 71274975840 in words is "seventy-one billion, two hundred seventy-four million, nine hundred seventy-five thousand, eight hundred forty".