6528719340 has 384 divisors, whose sum is σ = 24283929600. Its totient is φ = 1435207680.

The previous prime is 6528719297. The next prime is 6528719347. The reversal of 6528719340 is 439178256.

6528719340 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

6528719340 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (6528719347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4555264 + ... + 4556696.

It is an arithmetic number, because the mean of its divisors is an integer number (63239400).

It is a 1-persistent number, because it is pandigital, but 2⋅6528719340 = 13057438680 is not.

Almost surely, 2^6528719340 is an apocalyptic number.

6528719340 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 6528719340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141964800).

6528719340 is an abundant number, since it is smaller than the sum of its proper divisors (17755210260).

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

6528719340 is a wasteful number, since it uses less digits than its factorization.

6528719340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6528719340 is about 80800.4909638549. The cubic root of 6528719340 is about 1869.0001365525. Note that the first 3 decimals are identical.

The spelling of 6528719340 in words is "six billion, five hundred twenty-eight million, seven hundred nineteen thousand, three hundred forty".