7436230560 has 288 divisors, whose sum is σ = 27875352960. Its totient is φ = 1790208000.

The previous prime is 7436230541. The next prime is 7436230567. The reversal of 7436230560 is 650326347.

7436230560 is a `hidden beast` number, since 7 + 4 + 3 + 62 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7436230567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390286 + ... + 2393394.

It is an arithmetic number, because the mean of its divisors is an integer number (96789420).

Almost surely, 2^7436230560 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 7436230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937676480).

7436230560 is an abundant number, since it is smaller than the sum of its proper divisors (20439122400).

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

7436230560 is a wasteful number, since it uses less digits than its factorization.

7436230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 7436230560 is about 86233.5813937935. The cubic root of 7436230560 is about 1951.8702687454.

The spelling of 7436230560 in words is "seven billion, four hundred thirty-six million, two hundred thirty thousand, five hundred sixty".