7213536000 has 1080 divisors, whose sum is σ = 30788870112. Its totient is φ = 1672704000.

The previous prime is 7213535981. The next prime is 7213536007. The reversal of 7213536000 is 6353127.

It is a happy number.

7213536000 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7213536007) 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 119 ways as a sum of consecutive naturals, for example, 313631989 + ... + 313632011.

Almost surely, 2^7213536000 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 7213536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394435056).

7213536000 is an abundant number, since it is smaller than the sum of its proper divisors (23575334112).

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

7213536000 is a wasteful number, since it uses less digits than its factorization.

7213536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7213536000 is about 84932.5379345278. The cubic root of 7213536000 is about 1932.1880917142.

Adding to 7213536000 its reverse (6353127), we get a palindrome (7219889127).

The spelling of 7213536000 in words is "seven billion, two hundred thirteen million, five hundred thirty-six thousand".