7668654624 has 72 divisors (see below), whose sum is σ = 21842179632. Its totient is φ = 2552181120.

The previous prime is 7668654569. The next prime is 7668654649. The reversal of 7668654624 is 4264568667.

7668654624 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 6 + 5 + 4 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164479 + ... + 205889.

It is an arithmetic number, because the mean of its divisors is an integer number (303363606).

Almost surely, 2^7668654624 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 7668654624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921089816).

7668654624 is an abundant number, since it is smaller than the sum of its proper divisors (14173525008).

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

7668654624 is a wasteful number, since it uses less digits than its factorization.

7668654624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42070 (or 42059 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 7668654624 is about 87570.8548776361. The cubic root of 7668654624 is about 1971.9976493052.

The spelling of 7668654624 in words is "seven billion, six hundred sixty-eight million, six hundred fifty-four thousand, six hundred twenty-four".