6532928640 has 768 divisors, whose sum is σ = 28389553920. Its totient is φ = 1401421824.

The previous prime is 6532928627. The next prime is 6532928663. The reversal of 6532928640 is 468292356.

6532928640 is a `hidden beast` number, since 6 + 5 + 329 + 286 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506704 + ... + 18507056.

It is an arithmetic number, because the mean of its divisors is an integer number (36965565).

Almost surely, 2^6532928640 is an apocalyptic number.

6532928640 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 6532928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194776960).

6532928640 is an abundant number, since it is smaller than the sum of its proper divisors (21856625280).

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

6532928640 is a wasteful number, since it uses less digits than its factorization.

6532928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6532928640 is about 80826.5342570124. The cubic root of 6532928640 is about 1869.4017207795.

The spelling of 6532928640 in words is "six billion, five hundred thirty-two million, nine hundred twenty-eight thousand, six hundred forty".