6529464000 has 896 divisors, whose sum is σ = 26500531200. Its totient is φ = 1567641600.

The previous prime is 6529463911. The next prime is 6529464017. The reversal of 6529464000 is 4649256.

6529464000 is a `hidden beast` number, since 6 + 5 + 2 + 9 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151847979 + ... + 151848021.

Almost surely, 2^6529464000 is an apocalyptic number.

6529464000 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 6529464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250265600).

6529464000 is an abundant number, since it is smaller than the sum of its proper divisors (19971067200).

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

6529464000 is a wasteful number, since it uses less digits than its factorization.

6529464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6529464000 is about 80805.0988490207. The cubic root of 6529464000 is about 1869.0711926897.

The spelling of 6529464000 in words is "six billion, five hundred twenty-nine million, four hundred sixty-four thousand".