71492343264 has 144 divisors (see below), whose sum is σ = 213199786800. Its totient is φ = 22693644288.

The previous prime is 71492343259. The next prime is 71492343281. The reversal of 71492343264 is 46234329417.

71492343264 is a `hidden beast` number, since 7 + 1 + 49 + 2 + 343 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71492343264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551067 + ... + 668325.

It is an arithmetic number, because the mean of its divisors is an integer number (1480554075).

Almost surely, 2^71492343264 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 71492343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106599893400).

71492343264 is an abundant number, since it is smaller than the sum of its proper divisors (141707443536).

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

71492343264 is a wasteful number, since it uses less digits than its factorization.

71492343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117377 (or 117366 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 71492343264 in words is "seventy-one billion, four hundred ninety-two million, three hundred forty-three thousand, two hundred sixty-four".