7486116549408 has 360 divisors, whose sum is σ = 26728851042432. Its totient is φ = 2013071947776.

The previous prime is 7486116549407. The next prime is 7486116549413. The reversal of 7486116549408 is 8049456116847.

7486116549408 is a `hidden beast` number, since 7 + 4 + 8 + 61 + 165 + 4 + 9 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7486116549403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4529785 + ... + 5957447.

Almost surely, 2^{7486116549408} 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 7486116549408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364425521216).

7486116549408 is an abundant number, since it is smaller than the sum of its proper divisors (19242734493024).

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

7486116549408 is a wasteful number, since it uses less digits than its factorization.

7486116549408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427726 (or 1427692 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 7486116549408 in words is "seven trillion, four hundred eighty-six billion, one hundred sixteen million, five hundred forty-nine thousand, four hundred eight".