32482897920 has 624 divisors, whose sum is σ = 126440469792. Its totient is φ = 7644119040.

The previous prime is 32482897919. The next prime is 32482897963. The reversal of 32482897920 is 2979828423.

It is a happy number.

It is a super-2 number, since 2×32482897920² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75018024 + ... + 75018456.

It is an arithmetic number, because the mean of its divisors is an integer number (202628958).

Almost surely, 2^32482897920 is an apocalyptic number.

32482897920 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 32482897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63220234896).

32482897920 is an abundant number, since it is smaller than the sum of its proper divisors (93957571872).

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

32482897920 is a wasteful number, since it uses less digits than its factorization.

32482897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 32482897920 in words is "thirty-two billion, four hundred eighty-two million, eight hundred ninety-seven thousand, nine hundred twenty".