427263606362724 has 72 divisors (see below), whose sum is σ = 1021121606709792. Its totient is φ = 139047864076800.

The previous prime is 427263606362711. The next prime is 427263606362729.

427263606362724 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (427263606362729) 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, 46197399 + ... + 54669249.

It is an arithmetic number, because the mean of its divisors is an integer number (14182244537636).

Almost surely, 2^{427263606362724} is an apocalyptic number.

It is an amenable number.

427263606362724 is an abundant number, since it is smaller than the sum of its proper divisors (593858000347068).

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

427263606362724 is a wasteful number, since it uses less digits than its factorization.

427263606362724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474217 (or 8474172 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 60.

The spelling of 427263606362724 in words is "four hundred twenty-seven trillion, two hundred sixty-three billion, six hundred six million, three hundred sixty-two thousand, seven hundred twenty-four".