7142241664 has 64 divisors (see below), whose sum is σ = 15126375600. Its totient is φ = 3349555200.

The previous prime is 7142241643. The next prime is 7142241679. The reversal of 7142241664 is 4661422417.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231094 + ... + 260170.

Almost surely, 2^7142241664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563187800).

7142241664 is an abundant number, since it is smaller than the sum of its proper divisors (7984133936).

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

7142241664 is a wasteful number, since it uses less digits than its factorization.

7142241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29211 (or 29199 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 7142241664 is about 84511.7841723863. The cubic root of 7142241664 is about 1925.8014688391.

The spelling of 7142241664 in words is "seven billion, one hundred forty-two million, two hundred forty-one thousand, six hundred sixty-four".