32856900480 has 256 divisors, whose sum is σ = 116677800000. Its totient is φ = 8738537472.

The previous prime is 32856900457. The next prime is 32856900511. The reversal of 32856900480 is 8400965823.

32856900480 is a `hidden beast` number, since 3 + 2 + 8 + 569 + 0 + 0 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7065196 + ... + 7069844.

Almost surely, 2^32856900480 is an apocalyptic number.

32856900480 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 32856900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58338900000).

32856900480 is an abundant number, since it is smaller than the sum of its proper divisors (83820899520).

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

32856900480 is a wasteful number, since it uses less digits than its factorization.

32856900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 32856900480 in words is "thirty-two billion, eight hundred fifty-six million, nine hundred thousand, four hundred eighty".