32754680640 has 1344 divisors, whose sum is σ = 143019475200. Its totient is φ = 7007109120.

The previous prime is 32754680639. The next prime is 32754680687. The reversal of 32754680640 is 4608645723.

32754680640 is a `hidden beast` number, since 3 + 27 + 546 + 80 + 6 + 4 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337677072 + ... + 337677168.

It is an arithmetic number, because the mean of its divisors is an integer number (106413300).

Almost surely, 2^32754680640 is an apocalyptic number.

32754680640 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 32754680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509737600).

32754680640 is an abundant number, since it is smaller than the sum of its proper divisors (110264794560).

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

32754680640 is a wasteful number, since it uses less digits than its factorization.

32754680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 32754680640 in words is "thirty-two billion, seven hundred fifty-four million, six hundred eighty thousand, six hundred forty".