4560993360 has 720 divisors, whose sum is σ = 20026301568. Its totient is φ = 944317440.

The previous prime is 4560993337. The next prime is 4560993361. The reversal of 4560993360 is 633990654.

It is a happy number.

4560993360 is a `hidden beast` number, since 4 + 5 + 609 + 9 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (4560993361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16465542 + ... + 16465818.

Almost surely, 2^4560993360 is an apocalyptic number.

4560993360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4560993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013150784).

4560993360 is an abundant number, since it is smaller than the sum of its proper divisors (15465308208).

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

4560993360 is a wasteful number, since it uses less digits than its factorization.

4560993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 4560993360 is about 67535.1268600274. The cubic root of 4560993360 is about 1658.3892732211.

The spelling of 4560993360 in words is "four billion, five hundred sixty million, nine hundred ninety-three thousand, three hundred sixty".