7449394845600 has 720 divisors, whose sum is σ = 28924217778456. Its totient is φ = 1859272704000.

The previous prime is 7449394845587. The next prime is 7449394845601. The reversal of 7449394845600 is 65484939447.

It is a happy number.

7449394845600 is a `hidden beast` number, since 7 + 4 + 4 + 93 + 9 + 484 + 5 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 182510092944 + 7266884752656 = 427212^2 + 2695716^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (7449394845601) 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 119 ways as a sum of consecutive naturals, for example, 199370920 + ... + 199408280.

Almost surely, 2^{7449394845600} 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 7449394845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462108889228).

7449394845600 is an abundant number, since it is smaller than the sum of its proper divisors (21474822932856).

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

7449394845600 is a wasteful number, since it uses less digits than its factorization.

7449394845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37591 (or 37569 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 7449394845600 in words is "seven trillion, four hundred forty-nine billion, three hundred ninety-four million, eight hundred forty-five thousand, six hundred".