427418673647616 has 3328 divisors, whose sum is σ = 1671309987840000. Its totient is φ = 106332753494016.

The previous prime is 427418673647593. The next prime is 427418673647627. The reversal of 427418673647616 is 616746376814724.

427418673647616 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 1 + 86 + 73 + 6 + 476 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 951934684960 + ... + 951934685408.

Almost surely, 2^{427418673647616} 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 427418673647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835654993920000).

427418673647616 is an abundant number, since it is smaller than the sum of its proper divisors (1243891314192384).

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

427418673647616 is an equidigital number, since it uses as much as digits as its factorization.

427418673647616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 544 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 427418673647616 in words is "four hundred twenty-seven trillion, four hundred eighteen billion, six hundred seventy-three million, six hundred forty-seven thousand, six hundred sixteen".