6401209320 has 192 divisors, whose sum is σ = 22798376640. Its totient is φ = 1544755200.

The previous prime is 6401209303. The next prime is 6401209333. The reversal of 6401209320 is 239021046.

6401209320 is a `hidden beast` number, since 640 + 12 + 0 + 9 + 3 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 895360 + ... + 902480.

It is an arithmetic number, because the mean of its divisors is an integer number (118741545).

Almost surely, 2^6401209320 is an apocalyptic number.

6401209320 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 6401209320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399188320).

6401209320 is an abundant number, since it is smaller than the sum of its proper divisors (16397167320).

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

6401209320 is a wasteful number, since it uses less digits than its factorization.

6401209320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6401209320 is about 80007.5578929891. The cubic root of 6401209320 is about 1856.7524670430.

The spelling of 6401209320 in words is "six billion, four hundred one million, two hundred nine thousand, three hundred twenty".