427346101643724 has 24 divisors (see below), whose sum is σ = 1107934337595120. Its totient is φ = 142448700547872.

The previous prime is 427346101643707. The next prime is 427346101643729.

It is a happy number.

427346101643724 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 4 + 610 + 16 + 4 + 3 + 7 + 2 + 4 = 666.

427346101643724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (427346101643729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978454174169 + ... + 1978454174384.

It is an arithmetic number, because the mean of its divisors is an integer number (46163930733130).

Almost surely, 2^{427346101643724} is an apocalyptic number.

It is an amenable number.

427346101643724 is an abundant number, since it is smaller than the sum of its proper divisors (680588235951396).

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

427346101643724 is a wasteful number, since it uses less digits than its factorization.

427346101643724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956908348566 (or 3956908348558 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 427346101643724 in words is "four hundred twenty-seven trillion, three hundred forty-six billion, one hundred one million, six hundred forty-three thousand, seven hundred twenty-four".