546328938240 has 288 divisors, whose sum is σ = 1943365704000. Its totient is φ = 145337794560.

The previous prime is 546328938143. The next prime is 546328938263. The reversal of 546328938240 is 42839823645.

546328938240 is a `hidden beast` number, since 5 + 46 + 328 + 9 + 38 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14530986 + ... + 14568534.

Almost surely, 2^546328938240 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 546328938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971682852000).

546328938240 is an abundant number, since it is smaller than the sum of its proper divisors (1397036765760).

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

546328938240 is a wasteful number, since it uses less digits than its factorization.

546328938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38000 (or 37980 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 546328938240 in words is "five hundred forty-six billion, three hundred twenty-eight million, nine hundred thirty-eight thousand, two hundred forty".