7082256384 has 576 divisors, whose sum is σ = 25757222400. Its totient is φ = 1899085824.

The previous prime is 7082256383. The next prime is 7082256409. The reversal of 7082256384 is 4836522807.

7082256384 is a `hidden beast` number, since 7 + 0 + 8 + 2 + 2 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082256383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66189259 + ... + 66189365.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^7082256384 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 7082256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

7082256384 is an abundant number, since it is smaller than the sum of its proper divisors (18674966016).

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

7082256384 is a wasteful number, since it uses less digits than its factorization.

7082256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7082256384 is about 84156.1428773919. The cubic root of 7082256384 is about 1920.3949187648.

The spelling of 7082256384 in words is "seven billion, eighty-two million, two hundred fifty-six thousand, three hundred eighty-four".