6328887840 has 576 divisors, whose sum is σ = 26280858240. Its totient is φ = 1366917120.

The previous prime is 6328887809. The next prime is 6328887869. The reversal of 6328887840 is 487888236.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5115702 + ... + 5116938.

It is an arithmetic number, because the mean of its divisors is an integer number (45626490).

Almost surely, 2^6328887840 is an apocalyptic number.

6328887840 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 6328887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140429120).

6328887840 is an abundant number, since it is smaller than the sum of its proper divisors (19951970400).

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

6328887840 is a wasteful number, since it uses less digits than its factorization.

6328887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 6328887840 is about 79554.3074886583. The cubic root of 6328887840 is about 1849.7333767208.

The spelling of 6328887840 in words is "six billion, three hundred twenty-eight million, eight hundred eighty-seven thousand, eight hundred forty".