32327792640 has 864 divisors, whose sum is σ = 133222078080. Its totient is φ = 7201751040.

The previous prime is 32327792587. The next prime is 32327792683. The reversal of 32327792640 is 4629772323.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144967569 + ... + 144967791.

It is an arithmetic number, because the mean of its divisors is an integer number (154192220).

Almost surely, 2^32327792640 is an apocalyptic number.

32327792640 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 32327792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66611039040).

32327792640 is an abundant number, since it is smaller than the sum of its proper divisors (100894285440).

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

32327792640 is a wasteful number, since it uses less digits than its factorization.

32327792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 32327792640 in words is "thirty-two billion, three hundred twenty-seven million, seven hundred ninety-two thousand, six hundred forty".