7482564113024 has 1024 divisors, whose sum is σ = 21209377996800. Its totient is φ = 2551191552000.

The previous prime is 7482564112973. The next prime is 7482564113081. The reversal of 7482564113024 is 4203114652847.

It is a self number, because there is not a number n which added to its sum of digits gives 7482564113024.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47659643954 + ... + 47659644110.

It is an arithmetic number, because the mean of its divisors is an integer number (20712283200).

Almost surely, 2^{7482564113024} 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 7482564113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604688998400).

7482564113024 is an abundant number, since it is smaller than the sum of its proper divisors (13726813883776).

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

7482564113024 is a wasteful number, since it uses less digits than its factorization.

7482564113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 7482564113024 in words is "seven trillion, four hundred eighty-two billion, five hundred sixty-four million, one hundred thirteen thousand, twenty-four".