6403209120 has 1152 divisors, whose sum is σ = 29889699840. Its totient is φ = 1207664640.

The previous prime is 6403209107. The next prime is 6403209149. The reversal of 6403209120 is 219023046.

6403209120 is a `hidden beast` number, since 640 + 3 + 2 + 0 + 9 + 12 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81053241 + ... + 81053319.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^6403209120 is an apocalyptic number.

6403209120 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 6403209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

6403209120 is an abundant number, since it is smaller than the sum of its proper divisors (23486490720).

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

6403209120 is a wasteful number, since it uses less digits than its factorization.

6403209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

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

The square root of 6403209120 is about 80020.0544863599. The cubic root of 6403209120 is about 1856.9458027494.

The spelling of 6403209120 in words is "six billion, four hundred three million, two hundred nine thousand, one hundred twenty".