7266116841984 has 960 divisors, whose sum is σ = 29394229898880. Its totient is φ = 1742102691840.

The previous prime is 7266116841967. The next prime is 7266116841989. The reversal of 7266116841984 is 4891486116627.

7266116841984 is a `hidden beast` number, since 7 + 2 + 6 + 611 + 6 + 8 + 4 + 1 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×7266116841984² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7266116841989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96827262 + ... + 96902274.

It is an arithmetic number, because the mean of its divisors is an integer number (30618989478).

Almost surely, 2^{7266116841984} 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 7266116841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697114949440).

7266116841984 is an abundant number, since it is smaller than the sum of its proper divisors (22128113056896).

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

7266116841984 is a wasteful number, since it uses less digits than its factorization.

7266116841984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75078 (or 75049 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 7266116841984 in words is "seven trillion, two hundred sixty-six billion, one hundred sixteen million, eight hundred forty-one thousand, nine hundred eighty-four".