545480664422400 has 6912 divisors, whose sum is σ = 2560439621376000. Its totient is φ = 114615920885760.

The previous prime is 545480664422377. The next prime is 545480664422401. The reversal of 545480664422400 is 4224466084545.

545480664422400 is a `hidden beast` number, since 5 + 4 + 5 + 480 + 66 + 44 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-3 number, since 3×545480664422400³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545480664422401) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 5295928780749 + ... + 5295928780851.

It is an arithmetic number, because the mean of its divisors is an integer number (370433973000).

Almost surely, 2^{545480664422400} is an apocalyptic number.

545480664422400 is a gapful number since it is divisible by the number (50) 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 545480664422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280219810688000).

545480664422400 is an abundant number, since it is smaller than the sum of its proper divisors (2014958956953600).

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

545480664422400 is a wasteful number, since it uses less digits than its factorization.

545480664422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 545480664422400 in words is "five hundred forty-five trillion, four hundred eighty billion, six hundred sixty-four million, four hundred twenty-two thousand, four hundred".