32920731648 has 384 divisors, whose sum is σ = 111885546240. Its totient is φ = 9130475520.

The previous prime is 32920731583. The next prime is 32920731689. The reversal of 32920731648 is 84613702923.

32920731648 is a `hidden beast` number, since 3 + 292 + 0 + 7 + 316 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76381993 + ... + 76382423.

It is an arithmetic number, because the mean of its divisors is an integer number (291368610).

Almost surely, 2^32920731648 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 32920731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55942773120).

32920731648 is an abundant number, since it is smaller than the sum of its proper divisors (78964814592).

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

32920731648 is an equidigital number, since it uses as much as digits as its factorization.

32920731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 32920731648 in words is "thirty-two billion, nine hundred twenty million, seven hundred thirty-one thousand, six hundred forty-eight".