32672612044800 has 3744 divisors, whose sum is σ = 153041770033152. Its totient is φ = 6724913725440.

The previous prime is 32672612044739. The next prime is 32672612044811. The reversal of 32672612044800 is 844021627623.

It is a happy number.

32672612044800 is a `hidden beast` number, since 3 + 2 + 67 + 26 + 120 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 106425446247 + ... + 106425446553.

Almost surely, 2^{32672612044800} is an apocalyptic number.

32672612044800 is a gapful number since it is divisible by the number (30) 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 32672612044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76520885016576).

32672612044800 is an abundant number, since it is smaller than the sum of its proper divisors (120369157988352).

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

32672612044800 is a wasteful number, since it uses less digits than its factorization.

32672612044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 32672612044800 in words is "thirty-two trillion, six hundred seventy-two billion, six hundred twelve million, forty-four thousand, eight hundred".