537660000 has 360 divisors, whose sum is σ = 1995673680. Its totient is φ = 137088000.

The previous prime is 537659963. The next prime is 537660023. The reversal of 537660000 is 66735.

537660000 is a `hidden beast` number, since 53 + 7 + 6 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5219949 + ... + 5220051.

It is an arithmetic number, because the mean of its divisors is an integer number (5543538).

Almost surely, 2^537660000 is an apocalyptic number.

537660000 is a gapful number since it is divisible by the number (50) 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 537660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997836840).

537660000 is an abundant number, since it is smaller than the sum of its proper divisors (1458013680).

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

537660000 is a wasteful number, since it uses less digits than its factorization.

537660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 537660000 is about 23187.4966307275. The cubic root of 537660000 is about 813.1473342182.

The spelling of 537660000 in words is "five hundred thirty-seven million, six hundred sixty thousand".