546657672960 has 540 divisors, whose sum is σ = 2275415920008. Its totient is φ = 124949164032.

The previous prime is 546657672959. The next prime is 546657672971. The reversal of 546657672960 is 69276756645.

546657672960 is a `hidden beast` number, since 5 + 466 + 57 + 67 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×546657672960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5026519 + ... + 5134121.

Almost surely, 2^546657672960 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 546657672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137707960004).

546657672960 is an abundant number, since it is smaller than the sum of its proper divisors (1728758247048).

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

546657672960 is a wasteful number, since it uses less digits than its factorization.

546657672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107650 (or 107620 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 546657672960 in words is "five hundred forty-six billion, six hundred fifty-seven million, six hundred seventy-two thousand, nine hundred sixty".