7864660822200 has 1152 divisors, whose sum is σ = 31851746357760. Its totient is φ = 1562042880000.

The previous prime is 7864660822129. The next prime is 7864660822219. The reversal of 7864660822200 is 22280664687.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 1941410175 + ... + 1941414225.

It is an arithmetic number, because the mean of its divisors is an integer number (27649085380).

Almost surely, 2^{7864660822200} is an apocalyptic number.

7864660822200 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 7864660822200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925873178880).

7864660822200 is an abundant number, since it is smaller than the sum of its proper divisors (23987085535560).

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

7864660822200 is a wasteful number, since it uses less digits than its factorization.

7864660822200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 7864660822200 in words is "seven trillion, eight hundred sixty-four billion, six hundred sixty million, eight hundred twenty-two thousand, two hundred".