6004338480 has 480 divisors, whose sum is σ = 24129705600. Its totient is φ = 1336688640.

The previous prime is 6004338479. The next prime is 6004338499. The reversal of 6004338480 is 848334006.

6004338480 is a `hidden beast` number, since 600 + 4 + 3 + 3 + 8 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10125064 + ... + 10125656.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^6004338480 is an apocalyptic number.

6004338480 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 6004338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6004338480 is an abundant number, since it is smaller than the sum of its proper divisors (18125367120).

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

6004338480 is a wasteful number, since it uses less digits than its factorization.

6004338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6004338480 is about 77487.6666315356. Note that the first 4 decimals coincide. The cubic root of 6004338480 is about 1817.5584618304.

The spelling of 6004338480 in words is "six billion, four million, three hundred thirty-eight thousand, four hundred eighty".