546727149638208 has 840 divisors, whose sum is σ = 2127577539827520. Its totient is φ = 137110236641280.

The previous prime is 546727149638161. The next prime is 546727149638309. The reversal of 546727149638208 is 802836941727645.

546727149638208 is a `hidden beast` number, since 5 + 4 + 67 + 2 + 71 + 496 + 3 + 8 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 77657541 + ... + 84404667.

It is a 1-persistent number, because it is pandigital, but 2⋅546727149638208 = 1093454299276416 is not.

Almost surely, 2^{546727149638208} is an apocalyptic number.

546727149638208 is a gapful number since it is divisible by the number (58) 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 546727149638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063788769913760).

546727149638208 is an abundant number, since it is smaller than the sum of its proper divisors (1580850390189312).

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

546727149638208 is a wasteful number, since it uses less digits than its factorization.

546727149638208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747205 (or 6747179 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 546727149638208 in words is "five hundred forty-six trillion, seven hundred twenty-seven billion, one hundred forty-nine million, six hundred thirty-eight thousand, two hundred eight".