7606944124416 has 1440 divisors, whose sum is σ = 28634632266240. Its totient is φ = 1892038901760.

The previous prime is 7606944124397. The next prime is 7606944124421. The reversal of 7606944124416 is 6144214496067.

7606944124416 is a `hidden beast` number, since 7 + 6 + 0 + 69 + 44 + 124 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 17327890725 + ... + 17327891163.

It is an arithmetic number, because the mean of its divisors is an integer number (19885161296).

Almost surely, 2^{7606944124416} 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 7606944124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317316133120).

7606944124416 is an abundant number, since it is smaller than the sum of its proper divisors (21027688141824).

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

7606944124416 is a wasteful number, since it uses less digits than its factorization.

7606944124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7606944124416 in words is "seven trillion, six hundred six billion, nine hundred forty-four million, one hundred twenty-four thousand, four hundred sixteen".