6404406624 has 216 divisors, whose sum is σ = 23112566568. Its totient is φ = 1663441920.

The previous prime is 6404406623. The next prime is 6404406641. The reversal of 6404406624 is 4266044046.

It is a happy number.

6404406624 is a `hidden beast` number, since 640 + 4 + 4 + 0 + 6 + 6 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404406623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134604 + ... + 175860.

It is an arithmetic number, because the mean of its divisors is an integer number (107002623).

Almost surely, 2^6404406624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404406624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556283284).

6404406624 is an abundant number, since it is smaller than the sum of its proper divisors (16708159944).

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

6404406624 is a wasteful number, since it uses less digits than its factorization.

6404406624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41298 (or 41280 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6404406624 is about 80027.5366608269. The cubic root of 6404406624 is about 1857.0615551988.

The spelling of 6404406624 in words is "six billion, four hundred four million, four hundred six thousand, six hundred twenty-four".