7216876800 has 486 divisors, whose sum is σ = 30026266998. Its totient is φ = 1648926720.

The previous prime is 7216876789. The next prime is 7216876817. The reversal of 7216876800 is 86786127.

It can be written as a sum of positive squares in 3 ways, for example, as 329204736 + 6887672064 = 18144^2 + 82992^2 .

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

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2821122 + ... + 2823678.

Almost surely, 2^7216876800 is an apocalyptic number.

7216876800 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 7216876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013133499).

7216876800 is an abundant number, since it is smaller than the sum of its proper divisors (22809390198).

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

7216876800 is a wasteful number, since it uses less digits than its factorization.

7216876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7216876800 is about 84952.2030320580. The cubic root of 7216876800 is about 1932.4863299950.

The spelling of 7216876800 in words is "seven billion, two hundred sixteen million, eight hundred seventy-six thousand, eight hundred".