546786399144960 has 2464 divisors, whose sum is σ = 2193421444397568. Its totient is φ = 129820073656320.

The previous prime is 546786399144943. The next prime is 546786399145009. The reversal of 546786399144960 is 69441993687645.

546786399144960 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 8 + 6 + 39 + 91 + 4 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 546786399144960.

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 223 ways as a sum of consecutive naturals, for example, 891984337614 + ... + 891984338226.

It is an arithmetic number, because the mean of its divisors is an integer number (890187274512).

Almost surely, 2^{546786399144960} 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 546786399144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096710722198784).

546786399144960 is an abundant number, since it is smaller than the sum of its proper divisors (1646635045252608).

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

546786399144960 is a wasteful number, since it uses less digits than its factorization.

546786399144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 546786399144960 in words is "five hundred forty-six trillion, seven hundred eighty-six billion, three hundred ninety-nine million, one hundred forty-four thousand, nine hundred sixty".