32787393408 has 256 divisors, whose sum is σ = 120647232000. Its totient is φ = 8516136960.

The previous prime is 32787393391. The next prime is 32787393421. The reversal of 32787393408 is 80439378723.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204508 + ... + 327716.

It is an arithmetic number, because the mean of its divisors is an integer number (471278250).

Almost surely, 2^32787393408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32787393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60323616000).

32787393408 is an abundant number, since it is smaller than the sum of its proper divisors (87859838592).

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

32787393408 is a wasteful number, since it uses less digits than its factorization.

32787393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123250 (or 123232 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 32787393408 in words is "thirty-two billion, seven hundred eighty-seven million, three hundred ninety-three thousand, four hundred eight".