6003486720 has 1040 divisors, whose sum is σ = 27402236928. Its totient is φ = 1220935680.

The previous prime is 6003486719. The next prime is 6003486739. The reversal of 6003486720 is 276843006.

6003486720 is a `hidden beast` number, since 600 + 3 + 48 + 6 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127733737 + ... + 127733783.

Almost surely, 2^6003486720 is an apocalyptic number.

6003486720 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 6003486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701118464).

6003486720 is an abundant number, since it is smaller than the sum of its proper divisors (21398750208).

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

6003486720 is a wasteful number, since it uses less digits than its factorization.

6003486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

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

The square root of 6003486720 is about 77482.1703361489. The cubic root of 6003486720 is about 1817.4725130446.

The spelling of 6003486720 in words is "six billion, three million, four hundred eighty-six thousand, seven hundred twenty".