71774816256 has 768 divisors, whose sum is σ = 259223328000. Its totient is φ = 19322634240.

The previous prime is 71774816249. The next prime is 71774816257. The reversal of 71774816256 is 65261847717.

71774816256 is a `hidden beast` number, since 7 + 1 + 7 + 7 + 4 + 8 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71774816257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229312356 + ... + 229312668.

It is an arithmetic number, because the mean of its divisors is an integer number (337530375).

Almost surely, 2^71774816256 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 71774816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129611664000).

71774816256 is an abundant number, since it is smaller than the sum of its proper divisors (187448511744).

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

71774816256 is a wasteful number, since it uses less digits than its factorization.

71774816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

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

The spelling of 71774816256 in words is "seventy-one billion, seven hundred seventy-four million, eight hundred sixteen thousand, two hundred fifty-six".