6006480480 has 960 divisors, whose sum is σ = 28522948608. Its totient is φ = 1149603840.

The previous prime is 6006480461. The next prime is 6006480497. The reversal of 6006480480 is 840846006.

6006480480 is a `hidden beast` number, since 6 + 0 + 0 + 648 + 0 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972729 + ... + 12973191.

Almost surely, 2^6006480480 is an apocalyptic number.

6006480480 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 6006480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261474304).

6006480480 is an abundant number, since it is smaller than the sum of its proper divisors (22516468128).

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

6006480480 is a wasteful number, since it uses less digits than its factorization.

6006480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6006480480 is about 77501.4869534772. The cubic root of 6006480480 is about 1817.7745693096.

The spelling of 6006480480 in words is "six billion, six million, four hundred eighty thousand, four hundred eighty".