71045792064 has 420 divisors, whose sum is σ = 234567973332. Its totient is φ = 21135790080.

The previous prime is 71045792011. The next prime is 71045792087. The reversal of 71045792064 is 46029754017.

71045792064 is a `hidden beast` number, since 7 + 10 + 4 + 579 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15070017600 + 55975774464 = 122760^2 + 236592^2 .

It is a super-2 number, since 2×71045792064² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64763164 + ... + 64764260.

Almost surely, 2^71045792064 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 71045792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117283986666).

71045792064 is an abundant number, since it is smaller than the sum of its proper divisors (163522181268).

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

71045792064 is a wasteful number, since it uses less digits than its factorization.

71045792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 71045792064 in words is "seventy-one billion, forty-five million, seven hundred ninety-two thousand, sixty-four".