6348367872 has 720 divisors, whose sum is σ = 24402137760. Its totient is φ = 1625702400.

The previous prime is 6348367871. The next prime is 6348367877. The reversal of 6348367872 is 2787638436.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (6348367871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89413597 + ... + 89413667.

It is an arithmetic number, because the mean of its divisors is an integer number (33891858).

Almost surely, 2^6348367872 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 6348367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201068880).

6348367872 is an abundant number, since it is smaller than the sum of its proper divisors (18053769888).

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

6348367872 is a wasteful number, since it uses less digits than its factorization.

6348367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6348367872 is about 79676.6457125298. The cubic root of 6348367872 is about 1851.6292316318.

The spelling of 6348367872 in words is "six billion, three hundred forty-eight million, three hundred sixty-seven thousand, eight hundred seventy-two".