6401203200 has 924 divisors, whose sum is σ = 27743400400. Its totient is φ = 1463132160.

The previous prime is 6401203183. The next prime is 6401203201. The reversal of 6401203200 is 23021046.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6401203200 is a `hidden beast` number, since 640 + 1 + 2 + 0 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401203201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 914457597 + ... + 914457603.

Almost surely, 2^6401203200 is an apocalyptic number.

6401203200 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 6401203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871700200).

6401203200 is an abundant number, since it is smaller than the sum of its proper divisors (21342197200).

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

6401203200 is an frugal number, since it uses more digits than its factorization.

6401203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6401203200 is about 80007.5196465932. The cubic root of 6401203200 is about 1856.7518753148.

Adding to 6401203200 its reverse (23021046), we get a palindrome (6424224246).

The spelling of 6401203200 in words is "six billion, four hundred one million, two hundred three thousand, two hundred".