4609342439064 has 128 divisors (see below), whose sum is σ = 13992517843200. Its totient is φ = 1394289089280.

The previous prime is 4609342439047. The next prime is 4609342439077.

It is a happy number.

4609342439064 is a `hidden beast` number, since 4 + 60 + 93 + 4 + 2 + 439 + 0 + 64 = 666.

4609342439064 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4609342439064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385189 + ... + 3060564.

It is an arithmetic number, because the mean of its divisors is an integer number (109316545650).

Almost surely, 2^{4609342439064} is an apocalyptic number.

4609342439064 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 4609342439064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996258921600).

4609342439064 is an abundant number, since it is smaller than the sum of its proper divisors (9383175404136).

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

4609342439064 is a wasteful number, since it uses less digits than its factorization.

4609342439064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446342 (or 3446332 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4609342439064 in words is "four trillion, six hundred nine billion, three hundred forty-two million, four hundred thirty-nine thousand, sixty-four".