32466871296 has 132 divisors (see below), whose sum is σ = 96282110652. Its totient is φ = 10529685504.

The previous prime is 32466871289. The next prime is 32466871309. The reversal of 32466871296 is 69217866423.

32466871296 is a `hidden beast` number, since 3 + 2 + 466 + 87 + 12 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18296349696 + 14170521600 = 135264^2 + 119040^2 .

It is a super-4 number, since 4×32466871296⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293386 + ... + 388598.

Almost surely, 2^32466871296 is an apocalyptic number.

32466871296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32466871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48141055326).

32466871296 is an abundant number, since it is smaller than the sum of its proper divisors (63815239356).

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

32466871296 is a wasteful number, since it uses less digits than its factorization.

32466871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95276 (or 95255 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 32466871296 in words is "thirty-two billion, four hundred sixty-six million, eight hundred seventy-one thousand, two hundred ninety-six".