427612054680576 has 792 divisors, whose sum is σ = 1361530984334976. Its totient is φ = 134021791088640.

The previous prime is 427612054680557. The next prime is 427612054680619. The reversal of 427612054680576 is 675086450216724.

427612054680576 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 1 + 2 + 0 + 54 + 6 + 8 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95427816256 + ... + 95427820736.

Almost surely, 2^{427612054680576} 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 427612054680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680765492167488).

427612054680576 is an abundant number, since it is smaller than the sum of its proper divisors (933918929654400).

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

427612054680576 is a wasteful number, since it uses less digits than its factorization.

427612054680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 427612054680576 in words is "four hundred twenty-seven trillion, six hundred twelve billion, fifty-four million, six hundred eighty thousand, five hundred seventy-six".