6424006500 has 144 divisors (see below), whose sum is σ = 20737516800. Its totient is φ = 1673179200.

The previous prime is 6424006493. The next prime is 6424006507. The reversal of 6424006500 is 56004246.

It is a happy number.

6424006500 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 0 + 0 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6424006493) and next prime (6424006507).

It is not an unprimeable number, because it can be changed into a prime (6424006507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176901 + ... + 210099.

Almost surely, 2^6424006500 is an apocalyptic number.

6424006500 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 6424006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368758400).

6424006500 is an abundant number, since it is smaller than the sum of its proper divisors (14313510300).

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

6424006500 is a wasteful number, since it uses less digits than its factorization.

6424006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6424006500 is about 80149.9001870869. The cubic root of 6424006500 is about 1858.9540598794.

The spelling of 6424006500 in words is "six billion, four hundred twenty-four million, six thousand, five hundred".