71168361264 has 1200 divisors, whose sum is σ = 298707194016. Its totient is φ = 16024780800.

The previous prime is 71168361241. The next prime is 71168361289. The reversal of 71168361264 is 46216386117.

71168361264 is a `hidden beast` number, since 71 + 168 + 361 + 2 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 154377994 + ... + 154378454.

Almost surely, 2^71168361264 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 71168361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149353597008).

71168361264 is an abundant number, since it is smaller than the sum of its proper divisors (227538832752).

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

71168361264 is a wasteful number, since it uses less digits than its factorization.

71168361264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 71168361264 in words is "seventy-one billion, one hundred sixty-eight million, three hundred sixty-one thousand, two hundred sixty-four".