7215827616 has 288 divisors, whose sum is σ = 22714827408. Its totient is φ = 2163179520.

The previous prime is 7215827611. The next prime is 7215827621. The reversal of 7215827616 is 6167285127.

7215827616 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 8 + 27 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (7215827611) and next prime (7215827621).

It can be written as a sum of positive squares in 8 ways, for example, as 3120339600 + 4095488016 = 55860^2 + 63996^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (282240) is a multiple of the sum of its prime factors (784).

It is not an unprimeable number, because it can be changed into a prime (7215827611) 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, 11049946 + ... + 11050598.

Almost surely, 2^7215827616 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 7215827616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357413704).

7215827616 is an abundant number, since it is smaller than the sum of its proper divisors (15498999792).

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

7215827616 is a wasteful number, since it uses less digits than its factorization.

7215827616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 7215827616 is about 84946.0276646295. The cubic root of 7215827616 is about 1932.3926776642.

The spelling of 7215827616 in words is "seven billion, two hundred fifteen million, eight hundred twenty-seven thousand, six hundred sixteen".