7668460800 has 1944 divisors, whose sum is σ = 39440288160. Its totient is φ = 1393459200.

The previous prime is 7668460769. The next prime is 7668460831. The reversal of 7668460800 is 80648667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7668460769) and next prime (7668460831).

It is a super-2 number, since 2×7668460800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 403603191 + ... + 403603209.

Almost surely, 2^7668460800 is an apocalyptic number.

7668460800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720144080).

7668460800 is an abundant number, since it is smaller than the sum of its proper divisors (31771827360).

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

7668460800 is a wasteful number, since it uses less digits than its factorization.

7668460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7668460800 is about 87569.7482010768. The cubic root of 7668460800 is about 1971.9810351918.

The spelling of 7668460800 in words is "seven billion, six hundred sixty-eight million, four hundred sixty thousand, eight hundred".