7218201600 has 495 divisors, whose sum is σ = 27188849677. Its totient is φ = 1892229120.

The previous prime is 7218201563. The next prime is 7218201629. The reversal of 7218201600 is 61028127.

The square root of 7218201600 is 84960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2598552576 + 4619649024 = 50976^2 + 67968^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122342371 + ... + 122342429.

Almost surely, 2^7218201600 is an apocalyptic number.

7218201600 is the 84960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218201600

7218201600 is an abundant number, since it is smaller than the sum of its proper divisors (19970648077).

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

7218201600 is an equidigital number, since it uses as much as digits as its factorization.

7218201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 7218201600 is about 1932.6045714135.

Adding to 7218201600 its reverse (61028127), we get a palindrome (7279229727).

The spelling of 7218201600 in words is "seven billion, two hundred eighteen million, two hundred one thousand, six hundred".