32481819732672 has 168 divisors, whose sum is σ = 93282483996000. Its totient is φ = 10806441504768.

The previous prime is 32481819732623. The next prime is 32481819732679. The reversal of 32481819732672 is 27623791818423.

It is a happy number.

32481819732672 is a `hidden beast` number, since 3 + 2 + 4 + 81 + 81 + 97 + 326 + 72 = 666.

It is a super-2 number, since 2×32481819732672² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32481819732679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703373954 + ... + 1703393022.

Almost surely, 2^{32481819732672} is an apocalyptic number.

32481819732672 is a gapful number since it is divisible by the number (32) 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 32481819732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46641241998000).

32481819732672 is an abundant number, since it is smaller than the sum of its proper divisors (60800664263328).

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

32481819732672 is a wasteful number, since it uses less digits than its factorization.

32481819732672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24623 (or 24610 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 32481819732672 in words is "thirty-two trillion, four hundred eighty-one billion, eight hundred nineteen million, seven hundred thirty-two thousand, six hundred seventy-two".