6006563820 has 72 divisors (see below), whose sum is σ = 18259515456. Its totient is φ = 1598268672.

The previous prime is 6006563779. The next prime is 6006563821. The reversal of 6006563820 is 283656006.

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

It is not an unprimeable number, because it can be changed into a prime (6006563821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47304 + ... + 119376.

Almost surely, 2^6006563820 is an apocalyptic number.

6006563820 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 6006563820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129757728).

6006563820 is an abundant number, since it is smaller than the sum of its proper divisors (12252951636).

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

6006563820 is a wasteful number, since it uses less digits than its factorization.

6006563820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72551 (or 72546 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6006563820 is about 77502.0246187156. The cubic root of 6006563820 is about 1817.7829764865.

The spelling of 6006563820 in words is "six billion, six million, five hundred sixty-three thousand, eight hundred twenty".