6168489984 has 312 divisors, whose sum is σ = 19513583120. Its totient is φ = 1925185536.

The previous prime is 6168489953. The next prime is 6168489989. The reversal of 6168489984 is 4899848616.

6168489984 is a `hidden beast` number, since 6 + 1 + 68 + 489 + 98 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6168489989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31960992 + ... + 31961184.

Almost surely, 2^6168489984 is an apocalyptic number.

6168489984 is a gapful number since it is divisible by the number (64) 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 6168489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9756791560).

6168489984 is an abundant number, since it is smaller than the sum of its proper divisors (13345093136).

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

6168489984 is a wasteful number, since it uses less digits than its factorization.

6168489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 215 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 6168489984 is about 78539.7350644882. The cubic root of 6168489984 is about 1833.9730717541.

The spelling of 6168489984 in words is "six billion, one hundred sixty-eight million, four hundred eighty-nine thousand, nine hundred eighty-four".