32814792480 has 192 divisors, whose sum is σ = 104906188800. Its totient is φ = 8620784640.

The previous prime is 32814792463. The next prime is 32814792481. The reversal of 32814792480 is 8429741823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (32814792481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28022295 + ... + 28023465.

It is an arithmetic number, because the mean of its divisors is an integer number (546386400).

Almost surely, 2^32814792480 is an apocalyptic number.

32814792480 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 32814792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52453094400).

32814792480 is an abundant number, since it is smaller than the sum of its proper divisors (72091396320).

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

32814792480 is a wasteful number, since it uses less digits than its factorization.

32814792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 32814792480 in words is "thirty-two billion, eight hundred fourteen million, seven hundred ninety-two thousand, four hundred eighty".