32789448960 has 144 divisors (see below), whose sum is σ = 108099801600. Its totient is φ = 8461762560.

The previous prime is 32789448959. The next prime is 32789448961. The reversal of 32789448960 is 6984498723.

It is an interprime number because it is at equal distance from previous prime (32789448959) and next prime (32789448961).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 32789448894 and 32789448903.

It is not an unprimeable number, because it can be changed into a prime (32789448961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18685 + ... + 256764.

Almost surely, 2^32789448960 is an apocalyptic number.

32789448960 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 32789448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54049900800).

32789448960 is an abundant number, since it is smaller than the sum of its proper divisors (75310352640).

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

32789448960 is a wasteful number, since it uses less digits than its factorization.

32789448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275504 (or 275490 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 32789448960 in words is "thirty-two billion, seven hundred eighty-nine million, four hundred forty-eight thousand, nine hundred sixty".