6387486336 has 672 divisors, whose sum is σ = 24402055680. Its totient is φ = 1646023680.

The previous prime is 6387486271. The next prime is 6387486373. The reversal of 6387486336 is 6336847836.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 83 ways as a sum of consecutive naturals, for example, 50295105 + ... + 50295231.

Almost surely, 2^6387486336 is an apocalyptic number.

6387486336 is a gapful number since it is divisible by the number (66) 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 6387486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201027840).

6387486336 is an abundant number, since it is smaller than the sum of its proper divisors (18014569344).

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

6387486336 is a wasteful number, since it uses less digits than its factorization.

6387486336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 6387486336 is about 79921.7513321624. The cubic root of 6387486336 is about 1855.4246755235.

The spelling of 6387486336 in words is "six billion, three hundred eighty-seven million, four hundred eighty-six thousand, three hundred thirty-six".