7485720638176 has 288 divisors, whose sum is σ = 17678215941120. Its totient is φ = 3080542924800.

The previous prime is 7485720638147. The next prime is 7485720638189. The reversal of 7485720638176 is 6718360275847.

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 47 ways as a sum of consecutive naturals, for example, 7346143395 + ... + 7346144413.

It is an arithmetic number, because the mean of its divisors is an integer number (61382694240).

Almost surely, 2^{7485720638176} 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 7485720638176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839107970560).

7485720638176 is an abundant number, since it is smaller than the sum of its proper divisors (10192495302944).

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

7485720638176 is a wasteful number, since it uses less digits than its factorization.

7485720638176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 7485720638176 in words is "seven trillion, four hundred eighty-five billion, seven hundred twenty million, six hundred thirty-eight thousand, one hundred seventy-six".