7533640064 has 64 divisors (see below), whose sum is σ = 15680982240. Its totient is φ = 3598442496.

The previous prime is 7533640061. The next prime is 7533640069. The reversal of 7533640064 is 4600463357.

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

It is a super-2 number, since 2×7533640064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7533640061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3817382 + ... + 3819354.

Almost surely, 2^7533640064 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 7533640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840491120).

7533640064 is an abundant number, since it is smaller than the sum of its proper divisors (8147342176).

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

7533640064 is a wasteful number, since it uses less digits than its factorization.

7533640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The square root of 7533640064 is about 86796.5440786671. The cubic root of 7533640064 is about 1960.3560424970.

The spelling of 7533640064 in words is "seven billion, five hundred thirty-three million, six hundred forty thousand, sixty-four".