6533460000 has 600 divisors, whose sum is σ = 24885893340. Its totient is φ = 1679616000.

The previous prime is 6533459981. The next prime is 6533460001. The reversal of 6533460000 is 643356.

6533460000 is a `hidden beast` number, since 6 + 53 + 3 + 4 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13220496 + 6520239504 = 3636^2 + 80748^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6533460001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 59939946 + ... + 59940054.

Almost surely, 2^6533460000 is an apocalyptic number.

6533460000 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 6533460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442946670).

6533460000 is an abundant number, since it is smaller than the sum of its proper divisors (18352433340).

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

6533460000 is a wasteful number, since it uses less digits than its factorization.

6533460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6533460000 is about 80829.8212295437. The cubic root of 6533460000 is about 1869.4524024071.

The spelling of 6533460000 in words is "six billion, five hundred thirty-three million, four hundred sixty thousand".