7280821824 has 112 divisors (see below), whose sum is σ = 19479768000. Its totient is φ = 2399901696.

The previous prime is 7280821819. The next prime is 7280821837. The reversal of 7280821824 is 4281280827.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8782242 + ... + 8783070.

It is an arithmetic number, because the mean of its divisors is an integer number (173926500).

Almost surely, 2^7280821824 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 7280821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739884000).

7280821824 is an abundant number, since it is smaller than the sum of its proper divisors (12198946176).

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

7280821824 is a wasteful number, since it uses less digits than its factorization.

7280821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 7280821824 is about 85327.7318578198. The cubic root of 7280821824 is about 1938.1771434554.

The spelling of 7280821824 in words is "seven billion, two hundred eighty million, eight hundred twenty-one thousand, eight hundred twenty-four".