6404469120 has 896 divisors, whose sum is σ = 27452312640. Its totient is φ = 1397440512.

The previous prime is 6404469119. The next prime is 6404469133. The reversal of 6404469120 is 219644046.

6404469120 is a `hidden beast` number, since 640 + 4 + 4 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 120839014 + ... + 120839066.

Almost surely, 2^6404469120 is an apocalyptic number.

6404469120 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 6404469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726156320).

6404469120 is an abundant number, since it is smaller than the sum of its proper divisors (21047843520).

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

6404469120 is an equidigital number, since it uses as much as digits as its factorization.

6404469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6404469120 is about 80027.9271254729. The cubic root of 6404469120 is about 1857.0675957553.

The spelling of 6404469120 in words is "six billion, four hundred four million, four hundred sixty-nine thousand, one hundred twenty".