4168329984 has 540 divisors, whose sum is σ = 15629887504. Its totient is φ = 1075949568.

The previous prime is 4168329961. The next prime is 4168330021. The reversal of 4168329984 is 4899238614.

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.

Its product of digits (2985984) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4168329984.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 88687849 + ... + 88687895.

Almost surely, 2^4168329984 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 4168329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814943752).

4168329984 is an abundant number, since it is smaller than the sum of its proper divisors (11461557520).

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

4168329984 is an equidigital number, since it uses as much as digits as its factorization.

4168329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 72 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4168329984 is about 64562.6051518989. The cubic root of 4168329984 is about 1609.3630678873.

The spelling of 4168329984 in words is "four billion, one hundred sixty-eight million, three hundred twenty-nine thousand, nine hundred eighty-four".