7656669440 has 432 divisors, whose sum is σ = 23253132672. Its totient is φ = 2398814208.

The previous prime is 7656669439. The next prime is 7656669443. The reversal of 7656669440 is 449666567.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7656669443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45848237 + ... + 45848403.

It is an arithmetic number, because the mean of its divisors is an integer number (53826696).

Almost surely, 2^7656669440 is an apocalyptic number.

7656669440 is a gapful number since it is divisible by the number (70) 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 7656669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626566336).

7656669440 is an abundant number, since it is smaller than the sum of its proper divisors (15596463232).

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

7656669440 is a wasteful number, since it uses less digits than its factorization.

7656669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The square root of 7656669440 is about 87502.3967671743. The cubic root of 7656669440 is about 1970.9697819980.

The spelling of 7656669440 in words is "seven billion, six hundred fifty-six million, six hundred sixty-nine thousand, four hundred forty".