546880916736 has 1008 divisors, whose sum is σ = 2149017776640. Its totient is φ = 134503649280.

The previous prime is 546880916731. The next prime is 546880916761. The reversal of 546880916736 is 637619088645.

546880916736 is a `hidden beast` number, since 5 + 468 + 8 + 0 + 9 + 167 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546880916731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 273029911 + ... + 273031913.

It is an arithmetic number, because the mean of its divisors is an integer number (2131962080).

Almost surely, 2^546880916736 is an apocalyptic number.

546880916736 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 546880916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074508888320).

546880916736 is an abundant number, since it is smaller than the sum of its proper divisors (1602136859904).

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

546880916736 is a wasteful number, since it uses less digits than its factorization.

546880916736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 546880916736 in words is "five hundred forty-six billion, eight hundred eighty million, nine hundred sixteen thousand, seven hundred thirty-six".