7668200610 has 256 divisors, whose sum is σ = 24625152000. Its totient is φ = 1695556800.

The previous prime is 7668200609. The next prime is 7668200611. The reversal of 7668200610 is 160028667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7668200609) and next prime (7668200611).

It is not an unprimeable number, because it can be changed into a prime (7668200611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2869575 + ... + 2872245.

It is an arithmetic number, because the mean of its divisors is an integer number (96192000).

Almost surely, 2^7668200610 is an apocalyptic number.

7668200610 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668200610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312576000).

7668200610 is an abundant number, since it is smaller than the sum of its proper divisors (16956951390).

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

7668200610 is a wasteful number, since it uses less digits than its factorization.

7668200610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7668200610 is about 87568.2625726924. The cubic root of 7668200610 is about 1971.9587319091.

The spelling of 7668200610 in words is "seven billion, six hundred sixty-eight million, two hundred thousand, six hundred ten".