546007675276656 has 320 divisors, whose sum is σ = 1638544764518400. Its totient is φ = 173873786112000.

The previous prime is 546007675276601. The next prime is 546007675276663. The reversal of 546007675276656 is 656672576700645.

546007675276656 is a `hidden beast` number, since 5 + 4 + 600 + 7 + 6 + 7 + 5 + 2 + 7 + 6 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×546007675276656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7089405060 + ... + 7089482076.

It is an arithmetic number, because the mean of its divisors is an integer number (5120452389120).

Almost surely, 2^{546007675276656} 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 546007675276656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819272382259200).

546007675276656 is an abundant number, since it is smaller than the sum of its proper divisors (1092537089241744).

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

546007675276656 is a wasteful number, since it uses less digits than its factorization.

546007675276656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83845 (or 83833 counting only the distinct ones).

The product of its (nonzero) digits is 2667168000, while the sum is 72.

The spelling of 546007675276656 in words is "five hundred forty-six trillion, seven billion, six hundred seventy-five million, two hundred seventy-six thousand, six hundred fifty-six".