71262407664 has 320 divisors, whose sum is σ = 247210844160. Its totient is φ = 19222272000.

The previous prime is 71262407641. The next prime is 71262407707. The reversal of 71262407664 is 46670426217.

71262407664 is a `hidden beast` number, since 7 + 12 + 624 + 0 + 7 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3834234 + ... + 3852774.

It is an arithmetic number, because the mean of its divisors is an integer number (772533888).

Almost surely, 2^71262407664 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 71262407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123605422080).

71262407664 is an abundant number, since it is smaller than the sum of its proper divisors (175948436496).

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

71262407664 is a wasteful number, since it uses less digits than its factorization.

71262407664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18625 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 71262407664 in words is "seventy-one billion, two hundred sixty-two million, four hundred seven thousand, six hundred sixty-four".