537636960 has 384 divisors, whose sum is σ = 2246952960. Its totient is φ = 117393408.

The previous prime is 537636959. The next prime is 537637013. The reversal of 537636960 is 69636735.

537636960 is a `hidden beast` number, since 5 + 3 + 7 + 636 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695134 + ... + 695906.

It is an arithmetic number, because the mean of its divisors is an integer number (5851440).

Almost surely, 2^537636960 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 537636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123476480).

537636960 is an abundant number, since it is smaller than the sum of its proper divisors (1709316000).

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

537636960 is a wasteful number, since it uses less digits than its factorization.

537636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 537636960 is about 23186.9998059257. Note that the first 3 decimals coincide. The cubic root of 537636960 is about 813.1357189581.

The spelling of 537636960 in words is "five hundred thirty-seven million, six hundred thirty-six thousand, nine hundred sixty".