7566535680000 has 1120 divisors, whose sum is σ = 28964064032640. Its totient is φ = 1737031680000.

The previous prime is 7566535679947. The next prime is 7566535680031. The reversal of 7566535680000 is 865356657.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3210238822 + ... + 3210241178.

Almost surely, 2^{7566535680000} 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 7566535680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482032016320).

7566535680000 is an abundant number, since it is smaller than the sum of its proper divisors (21397528352640).

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

7566535680000 is a wasteful number, since it uses less digits than its factorization.

7566535680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 7566535680000 in words is "seven trillion, five hundred sixty-six billion, five hundred thirty-five million, six hundred eighty thousand".