546607416960 has 384 divisors, whose sum is σ = 2062298309760. Its totient is φ = 132304773120.

The previous prime is 546607416959. The next prime is 546607416989. The reversal of 546607416960 is 69614706645.

546607416960 is a `hidden beast` number, since 546 + 6 + 0 + 7 + 4 + 1 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 546607416897 and 546607416906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42888349 + ... + 42901091.

It is an arithmetic number, because the mean of its divisors is an integer number (5370568515).

Almost surely, 2^546607416960 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 546607416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031149154880).

546607416960 is an abundant number, since it is smaller than the sum of its proper divisors (1515690892800).

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

546607416960 is a wasteful number, since it uses less digits than its factorization.

546607416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13456 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 546607416960 in words is "five hundred forty-six billion, six hundred seven million, four hundred sixteen thousand, nine hundred sixty".