536640000 has 400 divisors, whose sum is σ = 1968644832. Its totient is φ = 129024000.

The previous prime is 536639981. The next prime is 536640001. The reversal of 536640000 is 46635.

It is a tau number, because it is divible by the number of its divisors (400).

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 (536640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479979 + ... + 12480021.

Almost surely, 2^536640000 is an apocalyptic number.

536640000 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 536640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984322416).

536640000 is an abundant number, since it is smaller than the sum of its proper divisors (1432004832).

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

536640000 is an equidigital number, since it uses as much as digits as its factorization.

536640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 536640000 is about 23165.4915769124. The cubic root of 536640000 is about 812.6327988064.

Adding to 536640000 its reverse (46635), we get a palindrome (536686635).

The spelling of 536640000 in words is "five hundred thirty-six million, six hundred forty thousand".