7321168800 has 360 divisors, whose sum is σ = 29128885632. Its totient is φ = 1774656000.

The previous prime is 7321168739. The next prime is 7321168823. The reversal of 7321168800 is 88611237.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 707665 + ... + 717935.

Almost surely, 2^7321168800 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 7321168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564442816).

7321168800 is an abundant number, since it is smaller than the sum of its proper divisors (21807716832).

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

7321168800 is a wasteful number, since it uses less digits than its factorization.

7321168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7321168800 is about 85563.8288063362. The cubic root of 7321168800 is about 1941.7507135319.

It can be divided in two parts, 7321 and 168800, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 7321168800 in words is "seven billion, three hundred twenty-one million, one hundred sixty-eight thousand, eight hundred".