546779128896 has 2016 divisors, whose sum is σ = 2291701694464. Its totient is φ = 125635276800.

The previous prime is 546779128871. The next prime is 546779128913. The reversal of 546779128896 is 698821977645.

546779128896 is a `hidden beast` number, since 5 + 467 + 79 + 1 + 2 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5308535181 + ... + 5308535283.

Almost surely, 2^546779128896 is an apocalyptic number.

546779128896 is a gapful number since it is divisible by the number (56) 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 546779128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145850847232).

546779128896 is an abundant number, since it is smaller than the sum of its proper divisors (1744922565568).

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

546779128896 is a wasteful number, since it uses less digits than its factorization.

546779128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 546779128896 in words is "five hundred forty-six billion, seven hundred seventy-nine million, one hundred twenty-eight thousand, eight hundred ninety-six".