1938000878640 has 160 divisors (see below), whose sum is σ = 6680524651200. Its totient is φ = 516398561280.

The previous prime is 1938000878623. The next prime is 1938000878659. The reversal of 1938000878640 is 468780008391.

It is a Cunningham number, because it is equal to 1392121²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436210 + ... + 3132270.

It is an arithmetic number, because the mean of its divisors is an integer number (41753279070).

Almost surely, 2^{1938000878640} is an apocalyptic number.

1938000878640 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 1938000878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340262325600).

1938000878640 is an abundant number, since it is smaller than the sum of its proper divisors (4742523772560).

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

1938000878640 is a wasteful number, since it uses less digits than its factorization.

1938000878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697372 (or 697360 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1938000878640 in words is "one trillion, nine hundred thirty-eight billion, eight hundred seventy-eight thousand, six hundred forty".