1938648687360 has 2304 divisors, whose sum is σ = 8788825866240. Its totient is φ = 351487918080.

The previous prime is 1938648687337. The next prime is 1938648687419. The reversal of 1938648687360 is 637868468391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5061745729 + ... + 5061746111.

It is an arithmetic number, because the mean of its divisors is an integer number (3814594560).

Almost surely, 2^{1938648687360} is an apocalyptic number.

1938648687360 is a gapful number since it is divisible by the number (10) 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 1938648687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394412933120).

1938648687360 is an abundant number, since it is smaller than the sum of its proper divisors (6850177178880).

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

1938648687360 is a wasteful number, since it uses less digits than its factorization.

1938648687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 69.

The spelling of 1938648687360 in words is "one trillion, nine hundred thirty-eight billion, six hundred forty-eight million, six hundred eighty-seven thousand, three hundred sixty".