6404583900 has 288 divisors, whose sum is σ = 21884099328. Its totient is φ = 1425715200.

The previous prime is 6404583881. The next prime is 6404583901. The reversal of 6404583900 is 93854046.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404583901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14457079 + ... + 14457521.

It is an arithmetic number, because the mean of its divisors is an integer number (75986456).

Almost surely, 2^6404583900 is an apocalyptic number.

6404583900 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 6404583900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942049664).

6404583900 is an abundant number, since it is smaller than the sum of its proper divisors (15479515428).

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

6404583900 is a wasteful number, since it uses less digits than its factorization.

6404583900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6404583900 is about 80028.6442469195. The cubic root of 6404583900 is about 1857.0786897243.

The spelling of 6404583900 in words is "six billion, four hundred four million, five hundred eighty-three thousand, nine hundred".