6528740400 has 1080 divisors, whose sum is σ = 29671605360. Its totient is φ = 1358622720.

The previous prime is 6528740389. The next prime is 6528740431. The reversal of 6528740400 is 40478256.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 89434764 + ... + 89434836.

Almost surely, 2^6528740400 is an apocalyptic number.

6528740400 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 6528740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835802680).

6528740400 is an abundant number, since it is smaller than the sum of its proper divisors (23142864960).

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

6528740400 is a wasteful number, since it uses less digits than its factorization.

6528740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6528740400 is about 80800.6212847401. The cubic root of 6528740400 is about 1869.0021461912.

The spelling of 6528740400 in words is "six billion, five hundred twenty-eight million, seven hundred forty thousand, four hundred".