4342001664 has 416 divisors, whose sum is σ = 15588324864. Its totient is φ = 1038090240.

The previous prime is 4342001633. The next prime is 4342001687. The reversal of 4342001664 is 4661002434.

It is a tau number, because it is divible by the number of its divisors (416).

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, 12300112 + ... + 12300464.

Almost surely, 2^4342001664 is an apocalyptic number.

4342001664 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 4342001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794162432).

4342001664 is an abundant number, since it is smaller than the sum of its proper divisors (11246323200).

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

4342001664 is a wasteful number, since it uses less digits than its factorization.

4342001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4342001664 is about 65893.8666645083. The cubic root of 4342001664 is about 1631.4107830657.

The spelling of 4342001664 in words is "four billion, three hundred forty-two million, one thousand, six hundred sixty-four".