32878669824 has 1092 divisors, whose sum is σ = 133360357648. Its totient is φ = 7882997760.

The previous prime is 32878669777. The next prime is 32878669841. The reversal of 32878669824 is 42896687823.

It is a tau number, because it is divible by the number of its divisors (1092).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55738368) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2529128442 + ... + 2529128454.

Almost surely, 2^32878669824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32878669824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66680178824).

32878669824 is an abundant number, since it is smaller than the sum of its proper divisors (100481687824).

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

32878669824 is an equidigital number, since it uses as much as digits as its factorization.

32878669824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 32878669824 in words is "thirty-two billion, eight hundred seventy-eight million, six hundred sixty-nine thousand, eight hundred twenty-four".