32661534981600 has 1728 divisors, whose sum is σ = 139321882828800. Its totient is φ = 7362481029120.

The previous prime is 32661534981599. The next prime is 32661534981629. The reversal of 32661534981600 is 618943516623.

32661534981600 is a `hidden beast` number, since 3 + 2 + 6 + 6 + 1 + 534 + 98 + 16 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25942441771 + ... + 25942443029.

It is an arithmetic number, because the mean of its divisors is an integer number (80626089600).

Almost surely, 2^{32661534981600} is an apocalyptic number.

32661534981600 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 32661534981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69660941414400).

32661534981600 is an abundant number, since it is smaller than the sum of its proper divisors (106660347847200).

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

32661534981600 is a wasteful number, since it uses less digits than its factorization.

32661534981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 32661534981600 in words is "thirty-two trillion, six hundred sixty-one billion, five hundred thirty-four million, nine hundred eighty-one thousand, six hundred".