244268728704 has 1536 divisors, whose sum is σ = 1002798720000. Its totient is φ = 58118860800.

The previous prime is 244268728643. The next prime is 244268728757. The reversal of 244268728704 is 407827862442.

244268728704 is a `hidden beast` number, since 2 + 442 + 68 + 72 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1864646719 + ... + 1864646849.

It is an arithmetic number, because the mean of its divisors is an integer number (652863750).

Almost surely, 2^244268728704 is an apocalyptic number.

244268728704 is a gapful number since it is divisible by the number (24) 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 244268728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501399360000).

244268728704 is an abundant number, since it is smaller than the sum of its proper divisors (758529991296).

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

244268728704 is a wasteful number, since it uses less digits than its factorization.

244268728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 244268728704 in words is "two hundred forty-four billion, two hundred sixty-eight million, seven hundred twenty-eight thousand, seven hundred four".