7277131680000 has 720 divisors, whose sum is σ = 29787232734336. Its totient is φ = 1535385600000.

The previous prime is 7277131679999. The next prime is 7277131680001. The reversal of 7277131680000 is 861317727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7277131679999) and next prime (7277131680001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7277131680001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 43596700 + ... + 43763300.

Almost surely, 2^{7277131680000} is an apocalyptic number.

7277131680000 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 7277131680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893616367168).

7277131680000 is an abundant number, since it is smaller than the sum of its proper divisors (22510101054336).

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

7277131680000 is a wasteful number, since it uses less digits than its factorization.

7277131680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166660 (or 166631 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

Adding to 7277131680000 its reverse (861317727), we get a palindrome (7277992997727).

The spelling of 7277131680000 in words is "seven trillion, two hundred seventy-seven billion, one hundred thirty-one million, six hundred eighty thousand".