7669905408 has 432 divisors, whose sum is σ = 25772128200. Its totient is φ = 2189721600.

The previous prime is 7669905391. The next prime is 7669905409. The reversal of 7669905408 is 8045099667.

7669905408 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 90 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7669905409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42375078 + ... + 42375258.

Almost surely, 2^7669905408 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 7669905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886064100).

7669905408 is an abundant number, since it is smaller than the sum of its proper divisors (18102222792).

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

7669905408 is a wasteful number, since it uses less digits than its factorization.

7669905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7669905408 is about 87577.9961405832. The cubic root of 7669905408 is about 1972.1048566812.

The spelling of 7669905408 in words is "seven billion, six hundred sixty-nine million, nine hundred five thousand, four hundred eight".