71756016264 has 96 divisors (see below), whose sum is σ = 202195113120. Its totient is φ = 23840562816.

The previous prime is 71756016263. The next prime is 71756016289. The reversal of 71756016264 is 46261065717.

71756016264 is a `hidden beast` number, since 7 + 17 + 5 + 6 + 0 + 1 + 626 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (71756016263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 536692 + ... + 656924.

It is an arithmetic number, because the mean of its divisors is an integer number (2106199095).

Almost surely, 2^71756016264 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 71756016264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101097556560).

71756016264 is an abundant number, since it is smaller than the sum of its proper divisors (130439096856).

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

71756016264 is a wasteful number, since it uses less digits than its factorization.

71756016264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120561 (or 120545 counting only the distinct ones).

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

The spelling of 71756016264 in words is "seventy-one billion, seven hundred fifty-six million, sixteen thousand, two hundred sixty-four".