7930728561600 has 2016 divisors, whose sum is σ = 34932924149760. Its totient is φ = 1684094976000.

The previous prime is 7930728561563. The next prime is 7930728561641. The reversal of 7930728561600 is 61658270397.

7930728561600 is a `hidden beast` number, since 7 + 9 + 3 + 0 + 7 + 28 + 5 + 6 + 1 + 600 = 666.

It is a super-3 number, since 3×7930728561600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1874431485 + ... + 1874435715.

It is an arithmetic number, because the mean of its divisors is an integer number (17327839360).

Almost surely, 2^{7930728561600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7930728561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466462074880).

7930728561600 is an abundant number, since it is smaller than the sum of its proper divisors (27002195588160).

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

7930728561600 is a wasteful number, since it uses less digits than its factorization.

7930728561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 7930728561600 in words is "seven trillion, nine hundred thirty billion, seven hundred twenty-eight million, five hundred sixty-one thousand, six hundred".