6029097984 has 594 divisors, whose sum is σ = 22206347280. Its totient is φ = 1569964032.

The previous prime is 6029097973. The next prime is 6029098013. The reversal of 6029097984 is 4897909206.

It is a self number, because there is not a number n which added to its sum of digits gives 6029097984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 76317657 + ... + 76317735.

Almost surely, 2^6029097984 is an apocalyptic number.

6029097984 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 6029097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103173640).

6029097984 is an abundant number, since it is smaller than the sum of its proper divisors (16177249296).

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

6029097984 is a wasteful number, since it uses less digits than its factorization.

6029097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6029097984 is about 77647.2664296690. The cubic root of 6029097984 is about 1820.0533317705.

The spelling of 6029097984 in words is "six billion, twenty-nine million, ninety-seven thousand, nine hundred eighty-four".