7873842816 has 640 divisors, whose sum is σ = 28791417600. Its totient is φ = 2087534592.

The previous prime is 7873842803. The next prime is 7873842917. The reversal of 7873842816 is 6182483787.

It is a happy number.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88470100 + ... + 88470188.

It is an arithmetic number, because the mean of its divisors is an integer number (44986590).

Almost surely, 2^7873842816 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 7873842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

7873842816 is an abundant number, since it is smaller than the sum of its proper divisors (20917574784).

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

7873842816 is a wasteful number, since it uses less digits than its factorization.

7873842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 7873842816 is about 88734.6765137508. The cubic root of 7873842816 is about 1989.4311494109.

The spelling of 7873842816 in words is "seven billion, eight hundred seventy-three million, eight hundred forty-two thousand, eight hundred sixteen".