7168284800 has 48 divisors (see below), whose sum is σ = 17707911450. Its totient is φ = 2867312640.

The previous prime is 7168284797. The next prime is 7168284841. The reversal of 7168284800 is 84828617.

It can be written as a sum of positive squares in 3 ways, for example, as 3767995456 + 3400289344 = 61384^2 + 58312^2 .

It is a super-2 number, since 2×7168284800² (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1116845 + ... + 1123244.

Almost surely, 2^7168284800 is an apocalyptic number.

It is an amenable number.

7168284800 is an abundant number, since it is smaller than the sum of its proper divisors (10539626650).

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

7168284800 is a wasteful number, since it uses less digits than its factorization.

7168284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240113 (or 2240096 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 7168284800 is about 84665.7238792653. The cubic root of 7168284800 is about 1928.1393470331.

The spelling of 7168284800 in words is "seven billion, one hundred sixty-eight million, two hundred eighty-four thousand, eight hundred".