7649968608 has 72 divisors (see below), whose sum is σ = 21803418000. Its totient is φ = 2544267264.

The previous prime is 7649968591. The next prime is 7649968631. The reversal of 7649968608 is 8068699467.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99733 + ... + 158891.

It is an arithmetic number, because the mean of its divisors is an integer number (302825250).

Almost surely, 2^7649968608 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 7649968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901709000).

7649968608 is an abundant number, since it is smaller than the sum of its proper divisors (14153449392).

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

7649968608 is a wasteful number, since it uses less digits than its factorization.

7649968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59624 (or 59613 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 7649968608 is about 87464.0989663759. The cubic root of 7649968608 is about 1970.3946410631.

The spelling of 7649968608 in words is "seven billion, six hundred forty-nine million, nine hundred sixty-eight thousand, six hundred eight".