7075104006400 has 108 divisors (see below), whose sum is σ = 17985285473092. Its totient is φ = 2753553899520.

The previous prime is 7075104006367. The next prime is 7075104006403. The reversal of 7075104006400 is 46004015707.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1197466226944 + 5877637779456 = 1094288^2 + 2424384^2 .

It is not an unprimeable number, because it can be changed into a prime (7075104006403) 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 11 ways as a sum of consecutive naturals, for example, 14702187 + ... + 15175786.

Almost surely, 2^{7075104006400} is an apocalyptic number.

It is an amenable number.

7075104006400 is an abundant number, since it is smaller than the sum of its proper divisors (10910181466692).

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

7075104006400 is a wasteful number, since it uses less digits than its factorization.

7075104006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29878036 (or 29878017 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 7075104006400 in words is "seven trillion, seventy-five billion, one hundred four million, six thousand, four hundred".