4557690387360 has 2688 divisors, whose sum is σ = 19774277591040. Its totient is φ = 979552051200.

The previous prime is 4557690387337. The next prime is 4557690387389. The reversal of 4557690387360 is 637830967554.

4557690387360 is a `hidden beast` number, since 4 + 557 + 6 + 9 + 0 + 3 + 8 + 73 + 6 + 0 = 666.

It is a super-3 number, since 3×4557690387360³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 27961290639 + ... + 27961290801.

It is an arithmetic number, because the mean of its divisors is an integer number (7356502080).

Almost surely, 2^{4557690387360} is an apocalyptic number.

4557690387360 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 4557690387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887138795520).

4557690387360 is an abundant number, since it is smaller than the sum of its proper divisors (15216587203680).

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

4557690387360 is a wasteful number, since it uses less digits than its factorization.

4557690387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 4557690387360 in words is "four trillion, five hundred fifty-seven billion, six hundred ninety million, three hundred eighty-seven thousand, three hundred sixty".