7226818560 has 576 divisors, whose sum is σ = 28063397700. Its totient is φ = 1717567488.

The previous prime is 7226818553. The next prime is 7226818579. The reversal of 7226818560 is 658186227.

7226818560 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 81 + 8 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 785793024 + 6441025536 = 28032^2 + 80256^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249200626 + ... + 249200654.

Almost surely, 2^7226818560 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 7226818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031698850).

7226818560 is an abundant number, since it is smaller than the sum of its proper divisors (20836579140).

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

7226818560 is a wasteful number, since it uses less digits than its factorization.

7226818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7226818560 is about 85010.6967387046. The cubic root of 7226818560 is about 1933.3733018557.

The spelling of 7226818560 in words is "seven billion, two hundred twenty-six million, eight hundred eighteen thousand, five hundred sixty".