7485204957120 has 672 divisors, whose sum is σ = 28434491467200. Its totient is φ = 1792253952000.

The previous prime is 7485204957119. The next prime is 7485204957149. The reversal of 7485204957120 is 217594025847.

7485204957120 is a `hidden beast` number, since 7 + 4 + 8 + 5 + 2 + 0 + 49 + 571 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 854373540 + ... + 854382300.

It is an arithmetic number, because the mean of its divisors is an integer number (42313231350).

Almost surely, 2^{7485204957120} 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 7485204957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217245733600).

7485204957120 is an abundant number, since it is smaller than the sum of its proper divisors (20949286510080).

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

7485204957120 is a wasteful number, since it uses less digits than its factorization.

7485204957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7485204957120 in words is "seven trillion, four hundred eighty-five billion, two hundred four million, nine hundred fifty-seven thousand, one hundred twenty".