6442197300 has 648 divisors, whose sum is σ = 26389574848. Its totient is φ = 1334361600.

The previous prime is 6442197299. The next prime is 6442197319. The reversal of 6442197300 is 37912446.

6442197300 is a `hidden beast` number, since 644 + 2 + 1 + 9 + 7 + 3 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20581944 + ... + 20582256.

Almost surely, 2^6442197300 is an apocalyptic number.

6442197300 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 6442197300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194787424).

6442197300 is an abundant number, since it is smaller than the sum of its proper divisors (19947377548).

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

6442197300 is a wasteful number, since it uses less digits than its factorization.

6442197300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6442197300 is about 80263.2998324888. The cubic root of 6442197300 is about 1860.7070672870.

The spelling of 6442197300 in words is "six billion, four hundred forty-two million, one hundred ninety-seven thousand, three hundred".