546626206080 has 768 divisors, whose sum is σ = 2131889760000. Its totient is φ = 133312241664.

The previous prime is 546626206067. The next prime is 546626206081. The reversal of 546626206080 is 80602626645.

546626206080 is a `hidden beast` number, since 546 + 6 + 2 + 6 + 20 + 6 + 0 + 80 = 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 (546626206081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85688331 + ... + 85694709.

It is an arithmetic number, because the mean of its divisors is an integer number (2775898125).

Almost surely, 2^546626206080 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 546626206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065944880000).

546626206080 is an abundant number, since it is smaller than the sum of its proper divisors (1585263553920).

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

546626206080 is a wasteful number, since it uses less digits than its factorization.

546626206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 546626206080 in words is "five hundred forty-six billion, six hundred twenty-six million, two hundred six thousand, eighty".