6244749438900 has 324 divisors, whose sum is σ = 22182495729408. Its totient is φ = 1352245345920.

The previous prime is 6244749438833. The next prime is 6244749438929. The reversal of 6244749438900 is 98349474426.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4718317 + ... + 5895083.

It is an arithmetic number, because the mean of its divisors is an integer number (68464492992).

Almost surely, 2^{6244749438900} is an apocalyptic number.

6244749438900 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 6244749438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091247864704).

6244749438900 is an abundant number, since it is smaller than the sum of its proper divisors (15937746290508).

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

6244749438900 is a wasteful number, since it uses less digits than its factorization.

6244749438900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176836 (or 1176803 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 6244749438900 in words is "six trillion, two hundred forty-four billion, seven hundred forty-nine million, four hundred thirty-eight thousand, nine hundred".