427987761768 has 320 divisors, whose sum is σ = 1455628838400. Its totient is φ = 114761162880.

The previous prime is 427987761767. The next prime is 427987761769. The reversal of 427987761768 is 867167789724.

427987761768 is a `hidden beast` number, since 427 + 9 + 8 + 77 + 61 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (427987761767) and next prime (427987761769).

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 a junction number, because it is equal to n+sod(n) for n = 427987761696 and 427987761705.

It is not an unprimeable number, because it can be changed into a prime (427987761767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9198483 + ... + 9244893.

It is an arithmetic number, because the mean of its divisors is an integer number (4548840120).

Almost surely, 2^427987761768 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 427987761768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727814419200).

427987761768 is an abundant number, since it is smaller than the sum of its proper divisors (1027641076632).

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

427987761768 is a wasteful number, since it uses less digits than its factorization.

427987761768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46562 (or 46549 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 427987761768 in words is "four hundred twenty-seven billion, nine hundred eighty-seven million, seven hundred sixty-one thousand, seven hundred sixty-eight".