32668671340800 has 432 divisors, whose sum is σ = 130682942631360. Its totient is φ = 7919677440000.

The previous prime is 32668671340783. The next prime is 32668671340813. The reversal of 32668671340800 is 804317686623.

32668671340800 is a `hidden beast` number, since 32 + 66 + 86 + 71 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6692601 + ... + 10494200.

Almost surely, 2^{32668671340800} is an apocalyptic number.

32668671340800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32668671340800 is an abundant number, since it is smaller than the sum of its proper divisors (98014271290560).

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

32668671340800 is a wasteful number, since it uses less digits than its factorization.

32668671340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186847 (or 17186822 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 32668671340800 in words is "thirty-two trillion, six hundred sixty-eight billion, six hundred seventy-one million, three hundred forty thousand, eight hundred".