7045045273600 has 132 divisors (see below), whose sum is σ = 17465838938548. Its totient is φ = 2817589248000.

The previous prime is 7045045273579. The next prime is 7045045273621. The reversal of 7045045273600 is 63725405407.

It is an interprime number because it is at equal distance from previous prime (7045045273579) and next prime (7045045273621).

It can be written as a sum of positive squares in 6 ways, for example, as 1784297522176 + 5260747751424 = 1335776^2 + 2293632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208904740 + ... + 208938460.

Almost surely, 2^{7045045273600} 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 7045045273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732919469274).

7045045273600 is an abundant number, since it is smaller than the sum of its proper divisors (10420793664948).

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

7045045273600 is a wasteful number, since it uses less digits than its factorization.

7045045273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41912 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 7045045273600 in words is "seven trillion, forty-five billion, forty-five million, two hundred seventy-three thousand, six hundred".