6066420624 has 480 divisors, whose sum is σ = 21058652160. Its totient is φ = 1606348800.

The previous prime is 6066420623. The next prime is 6066420629. The reversal of 6066420624 is 4260246606.

6066420624 is a `hidden beast` number, since 6 + 0 + 6 + 6 + 4 + 20 + 624 = 666.

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 (6066420623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36325789 + ... + 36325955.

It is an arithmetic number, because the mean of its divisors is an integer number (43872192).

Almost surely, 2^6066420624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066420624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

6066420624 is an abundant number, since it is smaller than the sum of its proper divisors (14992231536).

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

6066420624 is a wasteful number, since it uses less digits than its factorization.

6066420624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6066420624 is about 77887.2301728595. The cubic root of 6066420624 is about 1823.8012393068.

The spelling of 6066420624 in words is "six billion, sixty-six million, four hundred twenty thousand, six hundred twenty-four".