7282574208 has 384 divisors, whose sum is σ = 26043064320. Its totient is φ = 1902071808.

The previous prime is 7282574207. The next prime is 7282574231. The reversal of 7282574208 is 8024752827.

7282574208 is a `hidden beast` number, since 72 + 8 + 2 + 574 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282574207) 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, 13313391 + ... + 13313937.

It is an arithmetic number, because the mean of its divisors is an integer number (67820480).

Almost surely, 2^7282574208 is an apocalyptic number.

7282574208 is a gapful number since it is divisible by the number (78) 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 7282574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021532160).

7282574208 is an abundant number, since it is smaller than the sum of its proper divisors (18760490112).

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

7282574208 is a wasteful number, since it uses less digits than its factorization.

7282574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 7282574208 is about 85337.9997890740. Note that the first 3 decimals coincide. The cubic root of 7282574208 is about 1938.3326276504.

The spelling of 7282574208 in words is "seven billion, two hundred eighty-two million, five hundred seventy-four thousand, two hundred eight".