6387984288 has 144 divisors (see below), whose sum is σ = 21322304640. Its totient is φ = 1775789568.

The previous prime is 6387984257. The next prime is 6387984293. The reversal of 6387984288 is 8824897836.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31773 + ... + 117411.

It is an arithmetic number, because the mean of its divisors is an integer number (148071560).

Almost surely, 2^6387984288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6387984288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661152320).

6387984288 is an abundant number, since it is smaller than the sum of its proper divisors (14934320352).

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

6387984288 is a wasteful number, since it uses less digits than its factorization.

6387984288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85699 (or 85688 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 6387984288 is about 79924.8665184997. The cubic root of 6387984288 is about 1855.4728889819.

The spelling of 6387984288 in words is "six billion, three hundred eighty-seven million, nine hundred eighty-four thousand, two hundred eighty-eight".