6420580200 has 72 divisors (see below), whose sum is σ = 21562454550. Its totient is φ = 1712154240.

The previous prime is 6420580181. The next prime is 6420580237. The reversal of 6420580200 is 20850246.

6420580200 is a `hidden beast` number, since 64 + 2 + 0 + 580 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5484587364 + 935992836 = 74058^2 + 30594^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1781695 + ... + 1785294.

Almost surely, 2^6420580200 is an apocalyptic number.

6420580200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6420580200 is an abundant number, since it is smaller than the sum of its proper divisors (15141874350).

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

6420580200 is a wasteful number, since it uses less digits than its factorization.

6420580200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567011 (or 3566999 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6420580200 is about 80128.5230114720. The cubic root of 6420580200 is about 1858.6235046404.

The spelling of 6420580200 in words is "six billion, four hundred twenty million, five hundred eighty thousand, two hundred".