7134005664 has 168 divisors, whose sum is σ = 22297921380. Its totient is φ = 2237995008.

The previous prime is 7134005653. The next prime is 7134005707. The reversal of 7134005664 is 4665004317.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6543515664 + 590490000 = 80892^2 + 24300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 387582 + ... + 405570.

Almost surely, 2^7134005664 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 7134005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148960690).

7134005664 is an abundant number, since it is smaller than the sum of its proper divisors (15163915716).

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

7134005664 is a wasteful number, since it uses less digits than its factorization.

7134005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034 (or 18011 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7134005664 is about 84463.0431845787. The cubic root of 7134005664 is about 1925.0609449643.

The spelling of 7134005664 in words is "seven billion, one hundred thirty-four million, five thousand, six hundred sixty-four".