6338690244000 has 2304 divisors, whose sum is σ = 26506389611520. Its totient is φ = 1422832435200.

The previous prime is 6338690243953. The next prime is 6338690244001. The reversal of 6338690244000 is 4420968336.

6338690244000 is a `hidden beast` number, since 63 + 3 + 86 + 90 + 24 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6338690244001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36639827914 + ... + 36639828086.

It is an arithmetic number, because the mean of its divisors is an integer number (11504509380).

Almost surely, 2^{6338690244000} is an apocalyptic number.

6338690244000 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 6338690244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253194805760).

6338690244000 is an abundant number, since it is smaller than the sum of its proper divisors (20167699367520).

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

6338690244000 is a wasteful number, since it uses less digits than its factorization.

6338690244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6338690244000 in words is "six trillion, three hundred thirty-eight billion, six hundred ninety million, two hundred forty-four thousand".