7668200120 has 96 divisors (see below), whose sum is σ = 21126776400. Its totient is φ = 2490711552.

The previous prime is 7668200119. The next prime is 7668200167. The reversal of 7668200120 is 210028667.

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 23 ways as a sum of consecutive naturals, for example, 65717 + ... + 140196.

Almost surely, 2^7668200120 is an apocalyptic number.

7668200120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7668200120 is an abundant number, since it is smaller than the sum of its proper divisors (13458576280).

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

7668200120 is a wasteful number, since it uses less digits than its factorization.

7668200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205957 (or 205946 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7668200120 is about 87568.2597748751. The cubic root of 7668200120 is about 1971.9586899062.

Adding to 7668200120 its reverse (210028667), we get a palindrome (7878228787).

The spelling of 7668200120 in words is "seven billion, six hundred sixty-eight million, two hundred thousand, one hundred twenty".