32512284480 has 448 divisors, whose sum is σ = 113981349888. Its totient is φ = 7803371520.

The previous prime is 32512284479. The next prime is 32512284481. The reversal of 32512284480 is 8448221523.

It is an interprime number because it is at equal distance from previous prime (32512284479) and next prime (32512284481).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32512284481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115701940 + ... + 115702220.

It is an arithmetic number, because the mean of its divisors is an integer number (254422656).

Almost surely, 2^32512284480 is an apocalyptic number.

32512284480 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 32512284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56990674944).

32512284480 is an abundant number, since it is smaller than the sum of its proper divisors (81469065408).

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

32512284480 is a wasteful number, since it uses less digits than its factorization.

32512284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 32512284480 in words is "thirty-two billion, five hundred twelve million, two hundred eighty-four thousand, four hundred eighty".