7263216000 has 1024 divisors, whose sum is σ = 30245529600. Its totient is φ = 1703116800.

The previous prime is 7263215987. The next prime is 7263216047. The reversal of 7263216000 is 6123627.

It is a happy number.

7263216000 is a `hidden beast` number, since 7 + 26 + 32 + 1 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168911979 + ... + 168912021.

It is an arithmetic number, because the mean of its divisors is an integer number (29536650).

Almost surely, 2^7263216000 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 7263216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122764800).

7263216000 is an abundant number, since it is smaller than the sum of its proper divisors (22982313600).

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

7263216000 is a wasteful number, since it uses less digits than its factorization.

7263216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7263216000 is about 85224.5035186477. The cubic root of 7263216000 is about 1936.6136410536.

Adding to 7263216000 its reverse (6123627), we get a palindrome (7269339627).

The spelling of 7263216000 in words is "seven billion, two hundred sixty-three million, two hundred sixteen thousand".