71267136864 has 384 divisors, whose sum is σ = 244886519808. Its totient is φ = 17596508160.

The previous prime is 71267136839. The next prime is 71267136923. The reversal of 71267136864 is 46863176217.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29411557 + ... + 29413979.

It is an arithmetic number, because the mean of its divisors is an integer number (637725312).

Almost surely, 2^71267136864 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 71267136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443259904).

71267136864 is an abundant number, since it is smaller than the sum of its proper divisors (173619382944).

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

71267136864 is a wasteful number, since it uses less digits than its factorization.

71267136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2642 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 71267136864 in words is "seventy-one billion, two hundred sixty-seven million, one hundred thirty-six thousand, eight hundred sixty-four".