32756653952 has 64 divisors (see below), whose sum is σ = 71251488000. Its totient is φ = 14876505600.

The previous prime is 32756653879. The next prime is 32756653987. The reversal of 32756653952 is 25935665723.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32756653894 and 32756653903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723799 + ... + 1742697.

It is an arithmetic number, because the mean of its divisors is an integer number (1113304500).

Almost surely, 2^32756653952 is an apocalyptic number.

32756653952 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 32756653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35625744000).

32756653952 is an abundant number, since it is smaller than the sum of its proper divisors (38494834048).

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

32756653952 is a wasteful number, since it uses less digits than its factorization.

32756653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155 (or 20143 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 53.

The spelling of 32756653952 in words is "thirty-two billion, seven hundred fifty-six million, six hundred fifty-three thousand, nine hundred fifty-two".