6535249920 has 240 divisors, whose sum is σ = 22737300300. Its totient is φ = 1736441856.

The previous prime is 6535249891. The next prime is 6535249997. The reversal of 6535249920 is 299425356.

6535249920 is a `hidden beast` number, since 6 + 535 + 2 + 4 + 99 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6136528896 + 398721024 = 78336^2 + 19968^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 11 ways as a sum of consecutive naturals, for example, 23592822 + ... + 23593098.

Almost surely, 2^6535249920 is an apocalyptic number.

6535249920 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 6535249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368650150).

6535249920 is an abundant number, since it is smaller than the sum of its proper divisors (16202050380).

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

6535249920 is an frugal number, since it uses more digits than its factorization.

6535249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6535249920 is about 80840.8926224841. The cubic root of 6535249920 is about 1869.6231064810.

The spelling of 6535249920 in words is "six billion, five hundred thirty-five million, two hundred forty-nine thousand, nine hundred twenty".