7213984800 has 288 divisors, whose sum is σ = 25738352640. Its totient is φ = 1740518400.

The previous prime is 7213984783. The next prime is 7213984807. The reversal of 7213984800 is 84893127.

It is not an unprimeable number, because it can be changed into a prime (7213984807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6942681 + ... + 6943719.

It is an arithmetic number, because the mean of its divisors is an integer number (89369280).

Almost surely, 2^7213984800 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 7213984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

7213984800 is an abundant number, since it is smaller than the sum of its proper divisors (18524367840).

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

7213984800 is a wasteful number, since it uses less digits than its factorization.

7213984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7213984800 is about 84935.1799903903. The cubic root of 7213984800 is about 1932.2281621240.

The spelling of 7213984800 in words is "seven billion, two hundred thirteen million, nine hundred eighty-four thousand, eight hundred".