6004484640 has 720 divisors, whose sum is σ = 26668547136. Its totient is φ = 1245404160.

The previous prime is 6004484621. The next prime is 6004484683. The reversal of 6004484640 is 464844006.

6004484640 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 4 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 6004484595 and 6004484604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10976847 + ... + 10977393.

Almost surely, 2^6004484640 is an apocalyptic number.

6004484640 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 6004484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334273568).

6004484640 is an abundant number, since it is smaller than the sum of its proper divisors (20664062496).

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

6004484640 is a wasteful number, since it uses less digits than its factorization.

6004484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6004484640 is about 77488.6097436262. The cubic root of 6004484640 is about 1817.5732096215.

The spelling of 6004484640 in words is "six billion, four million, four hundred eighty-four thousand, six hundred forty".