546801300864 has 960 divisors, whose sum is σ = 2037244572000. Its totient is φ = 142538932224.

The previous prime is 546801300841. The next prime is 546801300911. The reversal of 546801300864 is 468003108645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1336922292 + ... + 1336922700.

Almost surely, 2^546801300864 is an apocalyptic number.

546801300864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546801300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018622286000).

546801300864 is an abundant number, since it is smaller than the sum of its proper divisors (1490443271136).

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

546801300864 is a wasteful number, since it uses less digits than its factorization.

546801300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 546801300864 in words is "five hundred forty-six billion, eight hundred one million, three hundred thousand, eight hundred sixty-four".