7668467400 has 192 divisors, whose sum is σ = 26082259200. Its totient is φ = 1848352000.

The previous prime is 7668467399. The next prime is 7668467453. The reversal of 7668467400 is 47648667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7668467400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178155 + ... + 1184645.

It is an arithmetic number, because the mean of its divisors is an integer number (135845100).

Almost surely, 2^7668467400 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 7668467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041129600).

7668467400 is an abundant number, since it is smaller than the sum of its proper divisors (18413791800).

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

7668467400 is a wasteful number, since it uses less digits than its factorization.

7668467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 7668467400 is about 87569.7858853155. The cubic root of 7668467400 is about 1971.9816009321.

The spelling of 7668467400 in words is "seven billion, six hundred sixty-eight million, four hundred sixty-seven thousand, four hundred".