7506564340352 has 512 divisors, whose sum is σ = 20692764610560. Its totient is φ = 2621015654400.

The previous prime is 7506564340309. The next prime is 7506564340367. The reversal of 7506564340352 is 2530434656057.

It is a self number, because there is not a number n which added to its sum of digits gives 7506564340352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874784702 + ... + 874793282.

It is an arithmetic number, because the mean of its divisors is an integer number (40415555880).

Almost surely, 2^{7506564340352} 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 7506564340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346382305280).

7506564340352 is an abundant number, since it is smaller than the sum of its proper divisors (13186200270208).

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

7506564340352 is a wasteful number, since it uses less digits than its factorization.

7506564340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 50.

The spelling of 7506564340352 in words is "seven trillion, five hundred six billion, five hundred sixty-four million, three hundred forty thousand, three hundred fifty-two".