6425884080 has 720 divisors, whose sum is σ = 27878340672. Its totient is φ = 1297612800.

The previous prime is 6425884067. The next prime is 6425884081. The reversal of 6425884080 is 804885246.

6425884080 is a `hidden beast` number, since 64 + 2 + 588 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6425884081) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 25003312 + ... + 25003568.

Almost surely, 2^6425884080 is an apocalyptic number.

6425884080 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 6425884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939170336).

6425884080 is an abundant number, since it is smaller than the sum of its proper divisors (21452456592).

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

6425884080 is a wasteful number, since it uses less digits than its factorization.

6425884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 6425884080 is about 80161.6122592354. The cubic root of 6425884080 is about 1859.1351511746.

The spelling of 6425884080 in words is "six billion, four hundred twenty-five million, eight hundred eighty-four thousand, eighty".