32019468480 has 672 divisors, whose sum is σ = 121420615680. Its totient is φ = 8017367040.

The previous prime is 32019468451. The next prime is 32019468557. The reversal of 32019468480 is 8486491023.

It is a happy number.

32019468480 is a `hidden beast` number, since 3 + 20 + 1 + 94 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89190541 + ... + 89190899.

It is an arithmetic number, because the mean of its divisors is an integer number (180685440).

Almost surely, 2^32019468480 is an apocalyptic number.

32019468480 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 32019468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710307840).

32019468480 is an abundant number, since it is smaller than the sum of its proper divisors (89401147200).

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

32019468480 is a wasteful number, since it uses less digits than its factorization.

32019468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 32019468480 in words is "thirty-two billion, nineteen million, four hundred sixty-eight thousand, four hundred eighty".