6059424672 has 648 divisors, whose sum is σ = 22616979840. Its totient is φ = 1587237120.

The previous prime is 6059424671. The next prime is 6059424673. The reversal of 6059424672 is 2764249506.

It is an interprime number because it is at equal distance from previous prime (6059424671) and next prime (6059424673).

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6059424671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195465297 + ... + 195465327.

Almost surely, 2^6059424672 is an apocalyptic number.

6059424672 is a gapful number since it is divisible by the number (62) 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 6059424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308489920).

6059424672 is an abundant number, since it is smaller than the sum of its proper divisors (16557555168).

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

6059424672 is an equidigital number, since it uses as much as digits as its factorization.

6059424672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6059424672 is about 77842.3064406496. The cubic root of 6059424672 is about 1823.0998848278.

The spelling of 6059424672 in words is "six billion, fifty-nine million, four hundred twenty-four thousand, six hundred seventy-two".