6538224000 has 1024 divisors, whose sum is σ = 28412467200. Its totient is φ = 1290240000.

The previous prime is 6538223977. The next prime is 6538224013. The reversal of 6538224000 is 4228356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107183970 + ... + 107184030.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^6538224000 is an apocalyptic number.

6538224000 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 6538224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206233600).

6538224000 is an abundant number, since it is smaller than the sum of its proper divisors (21874243200).

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

6538224000 is a wasteful number, since it uses less digits than its factorization.

6538224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6538224000 is about 80859.2851811095. The cubic root of 6538224000 is about 1869.9066745918.

The spelling of 6538224000 in words is "six billion, five hundred thirty-eight million, two hundred twenty-four thousand".