7643934144 has 672 divisors, whose sum is σ = 29604614400. Its totient is φ = 1910200320.

The previous prime is 7643934143. The next prime is 7643934157. The reversal of 7643934144 is 4414393467.

7643934144 is a `hidden beast` number, since 76 + 439 + 3 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7643934144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643934143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27010227 + ... + 27010509.

Almost surely, 2^7643934144 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 7643934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802307200).

7643934144 is an abundant number, since it is smaller than the sum of its proper divisors (21960680256).

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

7643934144 is a wasteful number, since it uses less digits than its factorization.

7643934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 7643934144 is about 87429.5953553486. The cubic root of 7643934144 is about 1969.8764078544.

The spelling of 7643934144 in words is "seven billion, six hundred forty-three million, nine hundred thirty-four thousand, one hundred forty-four".