7307448980256 has 384 divisors, whose sum is σ = 22110649989120. Its totient is φ = 2346143616000.

The previous prime is 7307448980239. The next prime is 7307448980281. The reversal of 7307448980256 is 6520898447037.

7307448980256 is a `hidden beast` number, since 7 + 3 + 0 + 74 + 489 + 80 + 2 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7307448980193 and 7307448980202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481938111 + ... + 1481943041.

It is an arithmetic number, because the mean of its divisors is an integer number (57579817680).

Almost surely, 2^{7307448980256} 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 7307448980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055324994560).

7307448980256 is an abundant number, since it is smaller than the sum of its proper divisors (14803201008864).

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

7307448980256 is a wasteful number, since it uses less digits than its factorization.

7307448980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7307448980256 in words is "seven trillion, three hundred seven billion, four hundred forty-eight million, nine hundred eighty thousand, two hundred fifty-six".