545239779840 has 1280 divisors, whose sum is σ = 2302309785600. Its totient is φ = 119726014464.

The previous prime is 545239779827. The next prime is 545239779857. The reversal of 545239779840 is 48977932545.

545239779840 is a `hidden beast` number, since 5 + 452 + 3 + 97 + 7 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 1518773581 + ... + 1518773939.

It is an arithmetic number, because the mean of its divisors is an integer number (1798679520).

Almost surely, 2^545239779840 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 545239779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151154892800).

545239779840 is an abundant number, since it is smaller than the sum of its proper divisors (1757070005760).

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

545239779840 is a wasteful number, since it uses less digits than its factorization.

545239779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 545239779840 in words is "five hundred forty-five billion, two hundred thirty-nine million, seven hundred seventy-nine thousand, eight hundred forty".