547977406728096 has 768 divisors, whose sum is σ = 1830110323507200. Its totient is φ = 158596061184000.

The previous prime is 547977406728079. The next prime is 547977406728109. The reversal of 547977406728096 is 690827604779745.

547977406728096 is a `hidden beast` number, since 5 + 4 + 79 + 77 + 406 + 72 + 8 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1181933640 + ... + 1182397176.

It is an arithmetic number, because the mean of its divisors is an integer number (2382956150400).

Almost surely, 2^{547977406728096} 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 547977406728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915055161753600).

547977406728096 is an abundant number, since it is smaller than the sum of its proper divisors (1282132916779104).

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

547977406728096 is a wasteful number, since it uses less digits than its factorization.

547977406728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463730 (or 463716 counting only the distinct ones).

The product of its (nonzero) digits is 8961684480, while the sum is 81.

The spelling of 547977406728096 in words is "five hundred forty-seven trillion, nine hundred seventy-seven billion, four hundred six million, seven hundred twenty-eight thousand, ninety-six".