546716362752 has 768 divisors, whose sum is σ = 1975034880000. Its totient is φ = 145954897920.

The previous prime is 546716362741. The next prime is 546716362757. The reversal of 546716362752 is 257263617645.

546716362752 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 1 + 6 + 3 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (546716362757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580994602 + ... + 580995542.

It is an arithmetic number, because the mean of its divisors is an integer number (2571660000).

Almost surely, 2^546716362752 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 546716362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987517440000).

546716362752 is an abundant number, since it is smaller than the sum of its proper divisors (1428318517248).

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

546716362752 is a wasteful number, since it uses less digits than its factorization.

546716362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1051 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 546716362752 in words is "five hundred forty-six billion, seven hundred sixteen million, three hundred sixty-two thousand, seven hundred fifty-two".