6382828080 has 640 divisors, whose sum is σ = 24855552000. Its totient is φ = 1497968640.

The previous prime is 6382828043. The next prime is 6382828117. The reversal of 6382828080 is 808282836.

6382828080 is a `hidden beast` number, since 638 + 2 + 8 + 2 + 8 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6382828043) and next prime (6382828117).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36894874 + ... + 36895046.

It is an arithmetic number, because the mean of its divisors is an integer number (38836800).

Almost surely, 2^6382828080 is an apocalyptic number.

6382828080 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 6382828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427776000).

6382828080 is an abundant number, since it is smaller than the sum of its proper divisors (18472723920).

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

6382828080 is a wasteful number, since it uses less digits than its factorization.

6382828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6382828080 is about 79892.6034123310. The cubic root of 6382828080 is about 1854.9735254369.

The spelling of 6382828080 in words is "six billion, three hundred eighty-two million, eight hundred twenty-eight thousand, eighty".