7238626560 has 540 divisors, whose sum is σ = 28519177764. Its totient is φ = 1751777280.

The previous prime is 7238626559. The next prime is 7238626561. The reversal of 7238626560 is 656268327.

It is a happy number.

7238626560 is a `hidden beast` number, since 7 + 2 + 3 + 86 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7238626559) and next prime (7238626561).

It can be written as a sum of positive squares in 2 ways, for example, as 5542504704 + 1696121856 = 74448^2 + 41184^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7238626561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12544992 + ... + 12545568.

Almost surely, 2^7238626560 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 7238626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259588882).

7238626560 is an abundant number, since it is smaller than the sum of its proper divisors (21280551204).

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

7238626560 is a wasteful number, since it uses less digits than its factorization.

7238626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7238626560 is about 85080.1184766453. The cubic root of 7238626560 is about 1934.4257174447.

The spelling of 7238626560 in words is "seven billion, two hundred thirty-eight million, six hundred twenty-six thousand, five hundred sixty".