7168896000 has 792 divisors, whose sum is σ = 30288001536. Its totient is φ = 1625702400.

The previous prime is 7168895989. The next prime is 7168896011. The reversal of 7168896000 is 6988617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7168895989) and next prime (7168896011).

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

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 71 ways as a sum of consecutive naturals, for example, 56447937 + ... + 56448063.

Almost surely, 2^7168896000 is an apocalyptic number.

7168896000 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 7168896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144000768).

7168896000 is an abundant number, since it is smaller than the sum of its proper divisors (23119105536).

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

7168896000 is a wasteful number, since it uses less digits than its factorization.

7168896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7168896000 is about 84669.3332913399. Note that the first 3 decimals coincide. The cubic root of 7168896000 is about 1928.1941460685.

The spelling of 7168896000 in words is "seven billion, one hundred sixty-eight million, eight hundred ninety-six thousand".