6724283904 has 640 divisors, whose sum is σ = 23758479360. Its totient is φ = 1857945600.

The previous prime is 6724283903. The next prime is 6724283941. The reversal of 6724283904 is 4093824276.

It is a self number, because there is not a number n which added to its sum of digits gives 6724283904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6724283903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94708189 + ... + 94708259.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^6724283904 is an apocalyptic number.

6724283904 is a gapful number since it is divisible by the number (64) 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 6724283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

6724283904 is an abundant number, since it is smaller than the sum of its proper divisors (17034195456).

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

6724283904 is a wasteful number, since it uses less digits than its factorization.

6724283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6724283904 is about 82001.7311036785. The cubic root of 6724283904 is about 1887.4785019495.

The spelling of 6724283904 in words is "six billion, seven hundred twenty-four million, two hundred eighty-three thousand, nine hundred four".