7566130827360 has 480 divisors, whose sum is σ = 30547341760320. Its totient is φ = 1727666454528.

The previous prime is 7566130827349. The next prime is 7566130827361. The reversal of 7566130827360 is 637280316657.

7566130827360 is a `hidden beast` number, since 7 + 5 + 6 + 6 + 1 + 308 + 273 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7566130827297 and 7566130827306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7566130827361) 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, 91495152 + ... + 91577808.

It is an arithmetic number, because the mean of its divisors is an integer number (63640295334).

Almost surely, 2^{7566130827360} is an apocalyptic number.

7566130827360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7566130827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273670880160).

7566130827360 is an abundant number, since it is smaller than the sum of its proper divisors (22981210932960).

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

7566130827360 is a wasteful number, since it uses less digits than its factorization.

7566130827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83700 (or 83683 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7566130827360 in words is "seven trillion, five hundred sixty-six billion, one hundred thirty million, eight hundred twenty-seven thousand, three hundred sixty".