1938107270736 has 800 divisors, whose sum is σ = 7063890882048. Its totient is φ = 499390894080.

The previous prime is 1938107270677. The next prime is 1938107270761. The reversal of 1938107270736 is 6370727018391.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1943938590 + ... + 1943939586.

Almost surely, 2^{1938107270736} is an apocalyptic number.

1938107270736 is a gapful number since it is divisible by the number (16) 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 1938107270736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531945441024).

1938107270736 is an abundant number, since it is smaller than the sum of its proper divisors (5125783611312).

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

1938107270736 is a wasteful number, since it uses less digits than its factorization.

1938107270736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 1938107270736 in words is "one trillion, nine hundred thirty-eight billion, one hundred seven million, two hundred seventy thousand, seven hundred thirty-six".