7869996288 has 864 divisors, whose sum is σ = 30855831552. Its totient is φ = 1940889600.

The previous prime is 7869996247. The next prime is 7869996301. The reversal of 7869996288 is 8826999687.

It is a tau number, because it is divible by the number of its divisors (864).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148490470 + ... + 148490522.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^7869996288 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 7869996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427915776).

7869996288 is an abundant number, since it is smaller than the sum of its proper divisors (22985835264).

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

7869996288 is a wasteful number, since it uses less digits than its factorization.

7869996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The square root of 7869996288 is about 88712.9995434716. Note that the first 3 decimals coincide. The cubic root of 7869996288 is about 1989.1071378173.

The spelling of 7869996288 in words is "seven billion, eight hundred sixty-nine million, nine hundred ninety-six thousand, two hundred eighty-eight".