7481681752480 has 192 divisors, whose sum is σ = 19095398784000. Its totient is φ = 2753729740800.

The previous prime is 7481681752459. The next prime is 7481681752499. The reversal of 7481681752480 is 842571861847.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267861871 + ... + 2267865169.

It is an arithmetic number, because the mean of its divisors is an integer number (99455202000).

Almost surely, 2^{7481681752480} 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 7481681752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547699392000).

7481681752480 is an abundant number, since it is smaller than the sum of its proper divisors (11613717031520).

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

7481681752480 is a wasteful number, since it uses less digits than its factorization.

7481681752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 61.

The spelling of 7481681752480 in words is "seven trillion, four hundred eighty-one billion, six hundred eighty-one million, seven hundred fifty-two thousand, four hundred eighty".