427065560724 has 288 divisors, whose sum is σ = 1216550361600. Its totient is φ = 115976171520.

The previous prime is 427065560717. The next prime is 427065560729.

427065560724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427065560729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42920502 + ... + 42930450.

It is an arithmetic number, because the mean of its divisors is an integer number (4224133200).

Almost surely, 2^427065560724 is an apocalyptic number.

427065560724 is a gapful number since it is divisible by the number (44) 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 427065560724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608275180800).

427065560724 is an abundant number, since it is smaller than the sum of its proper divisors (789484800876).

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

427065560724 is a wasteful number, since it uses less digits than its factorization.

427065560724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

It can be divided in two parts, 427065 and 560724, that added together give a palindrome (987789).

The spelling of 427065560724 in words is "four hundred twenty-seven billion, sixty-five million, five hundred sixty thousand, seven hundred twenty-four".