32782507821 has 96 divisors (see below), whose sum is σ = 60774824448. Its totient is φ = 16587141120.

The previous prime is 32782507817. The next prime is 32782507861. The reversal of 32782507821 is 12870528723.

32782507821 is a `hidden beast` number, since 327 + 8 + 250 + 78 + 2 + 1 = 666.

It is not a de Polignac number, because 32782507821 - 2² = 32782507817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32782507861) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1491705 + ... + 1513521.

It is an arithmetic number, because the mean of its divisors is an integer number (633071088).

Almost surely, 2^32782507821 is an apocalyptic number.

It is an amenable number.

32782507821 is a deficient number, since it is larger than the sum of its proper divisors (27992316627).

32782507821 is a wasteful number, since it uses less digits than its factorization.

32782507821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21931 (or 21928 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 32782507821 in words is "thirty-two billion, seven hundred eighty-two million, five hundred seven thousand, eight hundred twenty-one".