6724200000 has 336 divisors, whose sum is σ = 25430122368. Its totient is φ = 1536000000.

The previous prime is 6724199939. The next prime is 6724200011. The reversal of 6724200000 is 24276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 6724200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4199200 + ... + 4200800.

It is an arithmetic number, because the mean of its divisors is an integer number (75684888).

Almost surely, 2^6724200000 is an apocalyptic number.

6724200000 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 6724200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715061184).

6724200000 is an abundant number, since it is smaller than the sum of its proper divisors (18705922368).

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

6724200000 is an equidigital number, since it uses as much as digits as its factorization.

6724200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6724200000 is about 82001.2195031269. The cubic root of 6724200000 is about 1887.4706514157.

Adding to 6724200000 its reverse (24276), we get a palindrome (6724224276).

The spelling of 6724200000 in words is "six billion, seven hundred twenty-four million, two hundred thousand".