545989973760 has 2304 divisors, whose sum is σ = 2606639616000. Its totient is φ = 106062151680.

The previous prime is 545989973731. The next prime is 545989973803. The reversal of 545989973760 is 67379989545.

545989973760 is a `hidden beast` number, since 5 + 459 + 89 + 9 + 7 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3664362166 + ... + 3664362314.

It is an arithmetic number, because the mean of its divisors is an integer number (1131354000).

Almost surely, 2^545989973760 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 545989973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303319808000).

545989973760 is an abundant number, since it is smaller than the sum of its proper divisors (2060649642240).

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

545989973760 is a wasteful number, since it uses less digits than its factorization.

545989973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 545989973760 in words is "five hundred forty-five billion, nine hundred eighty-nine million, nine hundred seventy-three thousand, seven hundred sixty".