6399827280 has 960 divisors, whose sum is σ = 29312409600. Its totient is φ = 1266693120.

The previous prime is 6399827279. The next prime is 6399827321. The reversal of 6399827280 is 827289936.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26777401 + ... + 26777639.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 2^6399827280 is an apocalyptic number.

6399827280 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 6399827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656204800).

6399827280 is an abundant number, since it is smaller than the sum of its proper divisors (22912582320).

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

6399827280 is a wasteful number, since it uses less digits than its factorization.

6399827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6399827280 is about 79998.9204927167. The cubic root of 6399827280 is about 1856.6188313110.

The spelling of 6399827280 in words is "six billion, three hundred ninety-nine million, eight hundred twenty-seven thousand, two hundred eighty".