71631368064 has 256 divisors, whose sum is σ = 215109921600. Its totient is φ = 23463198720.

The previous prime is 71631368063. The next prime is 71631368069. The reversal of 71631368064 is 46086313617.

71631368064 is a `hidden beast` number, since 7 + 1 + 631 + 3 + 6 + 8 + 0 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71631368063) 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 31 ways as a sum of consecutive naturals, for example, 52630744 + ... + 52632104.

Almost surely, 2^71631368064 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 71631368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107554960800).

71631368064 is an abundant number, since it is smaller than the sum of its proper divisors (143478553536).

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

71631368064 is a wasteful number, since it uses less digits than its factorization.

71631368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 71631368064 in words is "seventy-one billion, six hundred thirty-one million, three hundred sixty-eight thousand, sixty-four".