6728192640 has 512 divisors, whose sum is σ = 26135827200. Its totient is φ = 1625702400.

The previous prime is 6728192633. The next prime is 6728192687. The reversal of 6728192640 is 462918276.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13702795 + ... + 13703285.

Almost surely, 2^6728192640 is an apocalyptic number.

6728192640 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 6728192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067913600).

6728192640 is an abundant number, since it is smaller than the sum of its proper divisors (19407634560).

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

6728192640 is a wasteful number, since it uses less digits than its factorization.

6728192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6728192640 is about 82025.5608941506. The cubic root of 6728192640 is about 1887.8441530843.

The spelling of 6728192640 in words is "six billion, seven hundred twenty-eight million, one hundred ninety-two thousand, six hundred forty".