32908468320 has 768 divisors, whose sum is σ = 143386951680. Its totient is φ = 6863781888.

The previous prime is 32908468303. The next prime is 32908468339. The reversal of 32908468320 is 2386480923.

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 127 ways as a sum of consecutive naturals, for example, 38132209 + ... + 38133071.

It is an arithmetic number, because the mean of its divisors is an integer number (186701760).

Almost surely, 2^32908468320 is an apocalyptic number.

32908468320 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 32908468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71693475840).

32908468320 is an abundant number, since it is smaller than the sum of its proper divisors (110478483360).

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

32908468320 is a wasteful number, since it uses less digits than its factorization.

32908468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32908468320 in words is "thirty-two billion, nine hundred eight million, four hundred sixty-eight thousand, three hundred twenty".