6003672480 has 192 divisors, whose sum is σ = 22629438720. Its totient is φ = 1477813248.

The previous prime is 6003672469. The next prime is 6003672487. The reversal of 6003672480 is 842763006.

6003672480 is a `hidden beast` number, since 600 + 3 + 6 + 7 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6003672487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709 + ... + 109611.

It is an arithmetic number, because the mean of its divisors is an integer number (117861660).

Almost surely, 2^6003672480 is an apocalyptic number.

6003672480 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 6003672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314719360).

6003672480 is an abundant number, since it is smaller than the sum of its proper divisors (16625766240).

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

6003672480 is a wasteful number, since it uses less digits than its factorization.

6003672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106940 (or 106926 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6003672480 is about 77483.3690542687. The cubic root of 6003672480 is about 1817.4912582743.

The spelling of 6003672480 in words is "six billion, three million, six hundred seventy-two thousand, four hundred eighty".