6728002036560 has 1920 divisors, whose sum is σ = 29211314356224. Its totient is φ = 1352292433920.

The previous prime is 6728002036519. The next prime is 6728002036573. The reversal of 6728002036560 is 656302008276.

It is a happy number.

6728002036560 is a `hidden beast` number, since 6 + 7 + 2 + 80 + 0 + 2 + 0 + 3 + 6 + 560 = 666.

It is a super-2 number, since 2×6728002036560² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21915315927 + ... + 21915316233.

Almost surely, 2^{6728002036560} is an apocalyptic number.

6728002036560 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 6728002036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605657178112).

6728002036560 is an abundant number, since it is smaller than the sum of its proper divisors (22483312319664).

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

6728002036560 is a wasteful number, since it uses less digits than its factorization.

6728002036560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6728002036560 in words is "six trillion, seven hundred twenty-eight billion, two million, thirty-six thousand, five hundred sixty".