537360768 has 192 divisors, whose sum is σ = 1815983520. Its totient is φ = 149299200.

The previous prime is 537360767. The next prime is 537360779. The reversal of 537360768 is 867063735.

537360768 is a `hidden beast` number, since 5 + 37 + 3 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537360763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297468 + ... + 299268.

Almost surely, 2^537360768 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 537360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907991760).

537360768 is an abundant number, since it is smaller than the sum of its proper divisors (1278622752).

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

537360768 is a wasteful number, since it uses less digits than its factorization.

537360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 537360768 is about 23181.0432897227. The cubic root of 537360768 is about 812.9964551889.

The spelling of 537360768 in words is "five hundred thirty-seven million, three hundred sixty thousand, seven hundred sixty-eight".