32417988480 has 1024 divisors, whose sum is σ = 130076928000. Its totient is φ = 7685922816.

The previous prime is 32417988479. The next prime is 32417988497. The reversal of 32417988480 is 8488971423.

It is a happy number.

32417988480 is a `hidden beast` number, since 32 + 41 + 7 + 98 + 8 + 480 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 611660134 + ... + 611660186.

It is an arithmetic number, because the mean of its divisors is an integer number (127028250).

Almost surely, 2^32417988480 is an apocalyptic number.

32417988480 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 32417988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65038464000).

32417988480 is an abundant number, since it is smaller than the sum of its proper divisors (97658939520).

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

32417988480 is an equidigital number, since it uses as much as digits as its factorization.

32417988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 32417988480 in words is "thirty-two billion, four hundred seventeen million, nine hundred eighty-eight thousand, four hundred eighty".