6433872984 has 512 divisors, whose sum is σ = 23611392000. Its totient is φ = 1586977920.

The previous prime is 6433872943. The next prime is 6433873003. The reversal of 6433872984 is 4892783346.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6433872984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46286787 + ... + 46286925.

It is an arithmetic number, because the mean of its divisors is an integer number (46116000).

Almost surely, 2^6433872984 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 6433872984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805696000).

6433872984 is an abundant number, since it is smaller than the sum of its proper divisors (17177519016).

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

6433872984 is a wasteful number, since it uses less digits than its factorization.

6433872984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 6433872984 is about 80211.4267670137. The cubic root of 6433872984 is about 1859.9052813369.

It can be divided in two parts, 6433872 and 984, that added together give a cube (6434856 = 186³).

The spelling of 6433872984 in words is "six billion, four hundred thirty-three million, eight hundred seventy-two thousand, nine hundred eighty-four".