7566640116480 has 720 divisors, whose sum is σ = 28921914229824. Its totient is φ = 1882222755840.

The previous prime is 7566640116473. The next prime is 7566640116487. The reversal of 7566640116480 is 846110466657.

It is an interprime number because it is at equal distance from previous prime (7566640116473) and next prime (7566640116487).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7566640116487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199150285 + ... + 199188275.

Almost surely, 2^{7566640116480} 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 7566640116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460957114912).

7566640116480 is an abundant number, since it is smaller than the sum of its proper divisors (21355274113344).

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

7566640116480 is a wasteful number, since it uses less digits than its factorization.

7566640116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38154 (or 38131 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 7566640116480 in words is "seven trillion, five hundred sixty-six billion, six hundred forty million, one hundred sixteen thousand, four hundred eighty".