6529272960 has 576 divisors, whose sum is σ = 25897930560. Its totient is φ = 1370357760.

The previous prime is 6529272949. The next prime is 6529272989. The reversal of 6529272960 is 692729256.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159250540 + ... + 159250580.

It is an arithmetic number, because the mean of its divisors is an integer number (44961685).

Almost surely, 2^6529272960 is an apocalyptic number.

6529272960 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 6529272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948965280).

6529272960 is an abundant number, since it is smaller than the sum of its proper divisors (19368657600).

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

6529272960 is a wasteful number, since it uses less digits than its factorization.

6529272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 6529272960 is about 80803.9167367523. The cubic root of 6529272960 is about 1869.0529639937.

The spelling of 6529272960 in words is "six billion, five hundred twenty-nine million, two hundred seventy-two thousand, nine hundred sixty".