1838842568640 has 1344 divisors, whose sum is σ = 8716765985280. Its totient is φ = 359605370880.

The previous prime is 1838842568609. The next prime is 1838842568659. The reversal of 1838842568640 is 468652488381.

1838842568640 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 8 + 4 + 2 + 568 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1838842568640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 79156707 + ... + 79179933.

Almost surely, 2^{1838842568640} is an apocalyptic number.

1838842568640 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 1838842568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358382992640).

1838842568640 is an abundant number, since it is smaller than the sum of its proper divisors (6877923416640).

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

1838842568640 is a wasteful number, since it uses less digits than its factorization.

1838842568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23295 (or 23272 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 1838842568640 in words is "one trillion, eight hundred thirty-eight billion, eight hundred forty-two million, five hundred sixty-eight thousand, six hundred forty".