545780083968 has 432 divisors, whose sum is σ = 1870515745280. Its totient is φ = 155478693888.

The previous prime is 545780083931. The next prime is 545780084021. The reversal of 545780083968 is 869380087545.

545780083968 is a `hidden beast` number, since 54 + 578 + 0 + 0 + 8 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×545780083968² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 165036171 + ... + 165039477.

Almost surely, 2^545780083968 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 545780083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935257872640).

545780083968 is an abundant number, since it is smaller than the sum of its proper divisors (1324735661312).

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

545780083968 is an equidigital number, since it uses as much as digits as its factorization.

545780083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 545780083968 in words is "five hundred forty-five billion, seven hundred eighty million, eighty-three thousand, nine hundred sixty-eight".