7381284624 has 320 divisors, whose sum is σ = 25413849600. Its totient is φ = 2006581248.

The previous prime is 7381284611. The next prime is 7381284629. The reversal of 7381284624 is 4264821837.

It is a happy number.

7381284624 is a `hidden beast` number, since 7 + 3 + 8 + 12 + 8 + 4 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7381284624.

It is not an unprimeable number, because it can be changed into a prime (7381284629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6401232 + ... + 6402384.

It is an arithmetic number, because the mean of its divisors is an integer number (79418280).

Almost surely, 2^7381284624 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 7381284624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12706924800).

7381284624 is an abundant number, since it is smaller than the sum of its proper divisors (18032564976).

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

7381284624 is a wasteful number, since it uses less digits than its factorization.

7381284624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1267 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 7381284624 is about 85914.4028903187. The cubic root of 7381284624 is about 1947.0509553356.

The spelling of 7381284624 in words is "seven billion, three hundred eighty-one million, two hundred eighty-four thousand, six hundred twenty-four".