7664346648 has 96 divisors (see below), whose sum is σ = 24364198560. Its totient is φ = 2130624000.

The previous prime is 7664346643. The next prime is 7664346671. The reversal of 7664346648 is 8466434667.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7664346594 and 7664346603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7664346643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186853 + ... + 224148.

It is an arithmetic number, because the mean of its divisors is an integer number (253793735).

Almost surely, 2^7664346648 is an apocalyptic number.

It is an amenable number.

7664346648 is an abundant number, since it is smaller than the sum of its proper divisors (16699851912).

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

7664346648 is a wasteful number, since it uses less digits than its factorization.

7664346648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411057 (or 411050 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The square root of 7664346648 is about 87546.2543344945. The cubic root of 7664346648 is about 1971.6283142112.

The spelling of 7664346648 in words is "seven billion, six hundred sixty-four million, three hundred forty-six thousand, six hundred forty-eight".