32128462080 has 1080 divisors, whose sum is σ = 136773634536. Its totient is φ = 7153090560.

The previous prime is 32128462063. The next prime is 32128462099. The reversal of 32128462080 is 8026482123.

32128462080 is a `hidden beast` number, since 3 + 2 + 1 + 28 + 4 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6024243456 + 26104218624 = 77616^2 + 161568^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163088542 + ... + 163088738.

Almost surely, 2^32128462080 is an apocalyptic number.

32128462080 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 32128462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68386817268).

32128462080 is an abundant number, since it is smaller than the sum of its proper divisors (104645172456).

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

32128462080 is a wasteful number, since it uses less digits than its factorization.

32128462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 32128462080 in words is "thirty-two billion, one hundred twenty-eight million, four hundred sixty-two thousand, eighty".