537360000 has 160 divisors (see below), whose sum is σ = 1784428800. Its totient is φ = 143232000.

The previous prime is 537359989. The next prime is 537360001. The reversal of 537360000 is 63735.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (537360001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238881 + ... + 241119.

It is an arithmetic number, because the mean of its divisors is an integer number (11152680).

Almost surely, 2^537360000 is an apocalyptic number.

537360000 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 537360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892214400).

537360000 is an abundant number, since it is smaller than the sum of its proper divisors (1247068800).

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

537360000 is an equidigital number, since it uses as much as digits as its factorization.

537360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 537360000 is about 23181.0267244572. The cubic root of 537360000 is about 812.9960678752.

The spelling of 537360000 in words is "five hundred thirty-seven million, three hundred sixty thousand".