6008724480 has 528 divisors, whose sum is σ = 21875912352. Its totient is φ = 1405747200.

The previous prime is 6008724467. The next prime is 6008724487. The reversal of 6008724480 is 844278006.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×6008724480² = 72209539753102540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6008724487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98503650 + ... + 98503710.

Almost surely, 2^6008724480 is an apocalyptic number.

6008724480 is a gapful number since it is divisible by the number (60) 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 6008724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937956176).

6008724480 is an abundant number, since it is smaller than the sum of its proper divisors (15867187872).

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

6008724480 is a wasteful number, since it uses less digits than its factorization.

6008724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 6008724480 is about 77515.9627431666. The cubic root of 6008724480 is about 1818.0009125220. Note that the first 3 decimals are identical.

The spelling of 6008724480 in words is "six billion, eight million, seven hundred twenty-four thousand, four hundred eighty".