7480568852736 has 1296 divisors, whose sum is σ = 25887984393600. Its totient is φ = 1907899564032.

The previous prime is 7480568852611. The next prime is 7480568852741. The reversal of 7480568852736 is 6372588650847.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27808806010 + ... + 27808806278.

It is an arithmetic number, because the mean of its divisors is an integer number (19975296600).

Almost surely, 2^{7480568852736} is an apocalyptic number.

7480568852736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480568852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943992196800).

7480568852736 is an abundant number, since it is smaller than the sum of its proper divisors (18407415540864).

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

7480568852736 is a wasteful number, since it uses less digits than its factorization.

7480568852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 7480568852736 in words is "seven trillion, four hundred eighty billion, five hundred sixty-eight million, eight hundred fifty-two thousand, seven hundred thirty-six".