6325280640 has 576 divisors, whose sum is σ = 25839974160. Its totient is φ = 1421328384.

The previous prime is 6325280603. The next prime is 6325280651. The reversal of 6325280640 is 460825236.

6325280640 is a `hidden beast` number, since 6 + 3 + 2 + 5 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 6325280595 and 6325280604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20603367 + ... + 20603673.

Almost surely, 2^6325280640 is an apocalyptic number.

6325280640 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 6325280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12919987080).

6325280640 is an abundant number, since it is smaller than the sum of its proper divisors (19514693520).

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

6325280640 is a wasteful number, since it uses less digits than its factorization.

6325280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6325280640 is about 79531.6329519267. The cubic root of 6325280640 is about 1849.3818865137.

The spelling of 6325280640 in words is "six billion, three hundred twenty-five million, two hundred eighty thousand, six hundred forty".