7844116896 has 384 divisors, whose sum is σ = 28743966720. Its totient is φ = 2021760000.

The previous prime is 7844116879. The next prime is 7844116913. The reversal of 7844116896 is 6986114487.

7844116896 is a `hidden beast` number, since 7 + 84 + 411 + 68 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (7844116879) and next prime (7844116913).

It is a super-2 number, since 2×7844116896² (a number of 21 digits) contains 22 as substring.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10444521 + ... + 10445271.

It is an arithmetic number, because the mean of its divisors is an integer number (74854080).

Almost surely, 2^7844116896 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 7844116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371983360).

7844116896 is an abundant number, since it is smaller than the sum of its proper divisors (20899849824).

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

7844116896 is a wasteful number, since it uses less digits than its factorization.

7844116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

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

The square root of 7844116896 is about 88567.0192340241. The cubic root of 7844116896 is about 1986.9244425259.

The spelling of 7844116896 in words is "seven billion, eight hundred forty-four million, one hundred sixteen thousand, eight hundred ninety-six".