6434225280 has 960 divisors, whose sum is σ = 28491507000. Its totient is φ = 1374879744.

The previous prime is 6434225267. The next prime is 6434225293. The reversal of 6434225280 is 825224346.

6434225280 is a `hidden beast` number, since 64 + 342 + 252 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6434225267) and next prime (6434225293).

It can be written as a sum of positive squares in 4 ways, for example, as 4767626304 + 1666598976 = 69048^2 + 40824^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182646 + ... + 43182794.

Almost surely, 2^6434225280 is an apocalyptic number.

6434225280 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 6434225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245753500).

6434225280 is an abundant number, since it is smaller than the sum of its proper divisors (22057281720).

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

6434225280 is a wasteful number, since it uses less digits than its factorization.

6434225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6434225280 is about 80213.6227831657. The cubic root of 6434225280 is about 1859.9392279832.

The spelling of 6434225280 in words is "six billion, four hundred thirty-four million, two hundred twenty-five thousand, two hundred eighty".