6238792224 has 144 divisors (see below), whose sum is σ = 20770888320. Its totient is φ = 1739013120.

The previous prime is 6238792199. The next prime is 6238792229. The reversal of 6238792224 is 4222978326.

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

It is a super-3 number, since 3×6238792224³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6238792224.

It is not an unprimeable number, because it can be changed into a prime (6238792229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44917 + ... + 120395.

It is an arithmetic number, because the mean of its divisors is an integer number (144242280).

Almost surely, 2^6238792224 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 6238792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385444160).

6238792224 is an abundant number, since it is smaller than the sum of its proper divisors (14532096096).

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

6238792224 is a wasteful number, since it uses less digits than its factorization.

6238792224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75543 (or 75532 counting only the distinct ones).

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

The square root of 6238792224 is about 78986.0254981854. The cubic root of 6238792224 is about 1840.9140291781.

The spelling of 6238792224 in words is "six billion, two hundred thirty-eight million, seven hundred ninety-two thousand, two hundred twenty-four".