32405846880 has 192 divisors, whose sum is σ = 111743670528. Its totient is φ = 7828776960.

The previous prime is 32405846857. The next prime is 32405846917. The reversal of 32405846880 is 8864850423.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536567 + ... + 1557513.

It is an arithmetic number, because the mean of its divisors is an integer number (581998284).

Almost surely, 2^32405846880 is an apocalyptic number.

32405846880 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 32405846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55871835264).

32405846880 is an abundant number, since it is smaller than the sum of its proper divisors (79337823648).

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

32405846880 is a wasteful number, since it uses less digits than its factorization.

32405846880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269 (or 21261 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 32405846880 in words is "thirty-two billion, four hundred five million, eight hundred forty-six thousand, eight hundred eighty".