7407445320000 has 1680 divisors, whose sum is σ = 30445260797952. Its totient is φ = 1703877120000.

The previous prime is 7407445319993. The next prime is 7407445320001. The reversal of 7407445320000 is 235447047.

7407445320000 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 445 + 3 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7407445320001) 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 239 ways as a sum of consecutive naturals, for example, 15210359757 + ... + 15210360243.

Almost surely, 2^{7407445320000} 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 7407445320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222630398976).

7407445320000 is an abundant number, since it is smaller than the sum of its proper divisors (23037815477952).

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

7407445320000 is a wasteful number, since it uses less digits than its factorization.

7407445320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 7407445320000 in words is "seven trillion, four hundred seven billion, four hundred forty-five million, three hundred twenty thousand".