32466562672896 has 648 divisors, whose sum is σ = 109404814821120. Its totient is φ = 9220560814080.

The previous prime is 32466562672891. The next prime is 32466562672903. The reversal of 32466562672896 is 69827626566423.

32466562672896 is a `hidden beast` number, since 3 + 2 + 466 + 5 + 6 + 2 + 6 + 72 + 8 + 96 = 666.

It is a super-4 number, since 4×32466562672896⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (32466562672891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132685061 + ... + 1132713723.

Almost surely, 2^{32466562672896} is an apocalyptic number.

32466562672896 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 32466562672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54702407410560).

32466562672896 is an abundant number, since it is smaller than the sum of its proper divisors (76938252148224).

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

32466562672896 is a wasteful number, since it uses less digits than its factorization.

32466562672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28963 (or 28935 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 32466562672896 in words is "thirty-two trillion, four hundred sixty-six billion, five hundred sixty-two million, six hundred seventy-two thousand, eight hundred ninety-six".