546330882240 has 2688 divisors, whose sum is σ = 2593706572800. Its totient is φ = 106062151680.

The previous prime is 546330882233. The next prime is 546330882241. The reversal of 546330882240 is 42288033645.

546330882240 is a `hidden beast` number, since 5 + 4 + 633 + 0 + 8 + 8 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546330882241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14765699502 + ... + 14765699538.

It is an arithmetic number, because the mean of its divisors is an integer number (964920600).

Almost surely, 2^546330882240 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 546330882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296853286400).

546330882240 is an abundant number, since it is smaller than the sum of its proper divisors (2047375690560).

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

546330882240 is a wasteful number, since it uses less digits than its factorization.

546330882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 546330882240 in words is "five hundred forty-six billion, three hundred thirty million, eight hundred eighty-two thousand, two hundred forty".