427867024760 has 256 divisors, whose sum is σ = 1166959872000. Its totient is φ = 138020585472.

The previous prime is 427867024709. The next prime is 427867024769. The reversal of 427867024760 is 67420768724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427867024769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211082867 + ... + 211084893.

It is an arithmetic number, because the mean of its divisors is an integer number (4558437000).

Almost surely, 2^427867024760 is an apocalyptic number.

427867024760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427867024760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583479936000).

427867024760 is an abundant number, since it is smaller than the sum of its proper divisors (739092847240).

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

427867024760 is a wasteful number, since it uses less digits than its factorization.

427867024760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 427867024760 in words is "four hundred twenty-seven billion, eight hundred sixty-seven million, twenty-four thousand, seven hundred sixty".