32480001840 has 480 divisors, whose sum is σ = 121778705664. Its totient is φ = 7095029760.

The previous prime is 32480001821. The next prime is 32480001889. The reversal of 32480001840 is 4810008423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32480001798 and 32480001807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19184034 + ... + 19185726.

Almost surely, 2^32480001840 is an apocalyptic number.

32480001840 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 32480001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60889352832).

32480001840 is an abundant number, since it is smaller than the sum of its proper divisors (89298703824).

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

32480001840 is a wasteful number, since it uses less digits than its factorization.

32480001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 32480001840 in words is "thirty-two billion, four hundred eighty million, one thousand, eight hundred forty".