7669009152 has 288 divisors, whose sum is σ = 26759720960. Its totient is φ = 2120048640.

The previous prime is 7669009151. The next prime is 7669009157. The reversal of 7669009152 is 2519009667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 7669009098 and 7669009107.

It is not an unprimeable number, because it can be changed into a prime (7669009151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497348 + ... + 1502460.

Almost surely, 2^7669009152 is an apocalyptic number.

7669009152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7669009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379860480).

7669009152 is an abundant number, since it is smaller than the sum of its proper divisors (19090711808).

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

7669009152 is a wasteful number, since it uses less digits than its factorization.

7669009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7669009152 is about 87572.8790893619. The cubic root of 7669009152 is about 1972.0280378433.

The spelling of 7669009152 in words is "seven billion, six hundred sixty-nine million, nine thousand, one hundred fifty-two".