6536925360 has 720 divisors, whose sum is σ = 27168261120. Its totient is φ = 1402168320.

The previous prime is 6536925349. The next prime is 6536925377. The reversal of 6536925360 is 635296356.

6536925360 is a `hidden beast` number, since 6 + 53 + 69 + 2 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6536925360² = 85462786324422259200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47028171 + ... + 47028309.

It is an arithmetic number, because the mean of its divisors is an integer number (37733696).

Almost surely, 2^6536925360 is an apocalyptic number.

6536925360 is a gapful number since it is divisible by the number (60) 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 6536925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

6536925360 is an abundant number, since it is smaller than the sum of its proper divisors (20631335760).

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

6536925360 is a wasteful number, since it uses less digits than its factorization.

6536925360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 6536925360 is about 80851.2545357213. The cubic root of 6536925360 is about 1869.7828643952.

The spelling of 6536925360 in words is "six billion, five hundred thirty-six million, nine hundred twenty-five thousand, three hundred sixty".