547468104960 has 1152 divisors, whose sum is σ = 2272556482560. Its totient is φ = 122234241024.

The previous prime is 547468104929. The next prime is 547468104961. The reversal of 547468104960 is 69401864745.

547468104960 is a `hidden beast` number, since 5 + 4 + 74 + 6 + 81 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 547468104897 and 547468104906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (547468104961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3164555434 + ... + 3164555606.

It is an arithmetic number, because the mean of its divisors is an integer number (1972705280).

Almost surely, 2^547468104960 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 547468104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136278241280).

547468104960 is an abundant number, since it is smaller than the sum of its proper divisors (1725088377600).

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

547468104960 is a wasteful number, since it uses less digits than its factorization.

547468104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 547468104960 in words is "five hundred forty-seven billion, four hundred sixty-eight million, one hundred four thousand, nine hundred sixty".