7987436838144 has 216 divisors, whose sum is σ = 24054516001152. Its totient is φ = 2544231444480.

The previous prime is 7987436838041. The next prime is 7987436838163. The reversal of 7987436838144 is 4418386347897.

7987436838144 is a `hidden beast` number, since 7 + 98 + 7 + 4 + 368 + 38 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54561654 + ... + 54707850.

Almost surely, 2^{7987436838144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987436838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027258000576).

7987436838144 is an abundant number, since it is smaller than the sum of its proper divisors (16067079163008).

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

7987436838144 is a wasteful number, since it uses less digits than its factorization.

7987436838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147273 (or 147256 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 7987436838144 in words is "seven trillion, nine hundred eighty-seven billion, four hundred thirty-six million, eight hundred thirty-eight thousand, one hundred forty-four".