1938700638720 has 960 divisors, whose sum is σ = 7280347599360. Its totient is φ = 488435318784.

The previous prime is 1938700638713. The next prime is 1938700638739. The reversal of 1938700638720 is 278360078391.

1938700638720 is a `hidden beast` number, since 193 + 8 + 70 + 0 + 6 + 387 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 15265359297 + ... + 15265359423.

It is an arithmetic number, because the mean of its divisors is an integer number (7583695416).

Almost surely, 2^{1938700638720} is an apocalyptic number.

1938700638720 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 1938700638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640173799680).

1938700638720 is an abundant number, since it is smaller than the sum of its proper divisors (5341646960640).

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

1938700638720 is an equidigital number, since it uses as much as digits as its factorization.

1938700638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1938700638720 in words is "one trillion, nine hundred thirty-eight billion, seven hundred million, six hundred thirty-eight thousand, seven hundred twenty".