7818688416 has 192 divisors, whose sum is σ = 27094072320. Its totient is φ = 1911336960.

The previous prime is 7818688369. The next prime is 7818688441. The reversal of 7818688416 is 6148868187.

It is a super-2 number, since 2×7818688416² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 94555 + ... + 156773.

It is an arithmetic number, because the mean of its divisors is an integer number (141114960).

Almost surely, 2^7818688416 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 7818688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547036160).

7818688416 is an abundant number, since it is smaller than the sum of its proper divisors (19275383904).

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

7818688416 is a wasteful number, since it uses less digits than its factorization.

7818688416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62267 (or 62259 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 57.

The square root of 7818688416 is about 88423.3476860043. The cubic root of 7818688416 is about 1984.7750965827.

The spelling of 7818688416 in words is "seven billion, eight hundred eighteen million, six hundred eighty-eight thousand, four hundred sixteen".