6006274560 has 480 divisors, whose sum is σ = 24451435008. Its totient is φ = 1343324160.

The previous prime is 6006274553. The next prime is 6006274597. The reversal of 6006274560 is 654726006.

6006274560 is a `hidden beast` number, since 600 + 6 + 2 + 7 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3293809 + ... + 3295631.

Almost surely, 2^6006274560 is an apocalyptic number.

6006274560 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 6006274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

6006274560 is an abundant number, since it is smaller than the sum of its proper divisors (18445160448).

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

6006274560 is a wasteful number, since it uses less digits than its factorization.

6006274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6006274560 is about 77500.1584514509. The cubic root of 6006274560 is about 1817.7537961676.

The spelling of 6006274560 in words is "six billion, six million, two hundred seventy-four thousand, five hundred sixty".