427645562976 has 144 divisors (see below), whose sum is σ = 1226953728000. Its totient is φ = 141281812224.

The previous prime is 427645562969. The next prime is 427645562977. The reversal of 427645562976 is 679265546724.

427645562976 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 4 + 556 + 2 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×427645562976⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427645562977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24290625 + ... + 24308223.

It is an arithmetic number, because the mean of its divisors is an integer number (8520512000).

Almost surely, 2^427645562976 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 427645562976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864000).

427645562976 is an abundant number, since it is smaller than the sum of its proper divisors (799308165024).

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

427645562976 is a wasteful number, since it uses less digits than its factorization.

427645562976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18361 (or 18350 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 427645562976 in words is "four hundred twenty-seven billion, six hundred forty-five million, five hundred sixty-two thousand, nine hundred seventy-six".