7652284416 has 288 divisors, whose sum is σ = 25511915520. Its totient is φ = 2164506624.

The previous prime is 7652284411. The next prime is 7652284427. The reversal of 7652284416 is 6144822567.

7652284416 is a `hidden beast` number, since 7 + 6 + 5 + 228 + 4 + 416 = 666.

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

It is a super-2 number, since 2×7652284416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7652284411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16385815 + ... + 16386281.

It is an arithmetic number, because the mean of its divisors is an integer number (88583040).

Almost surely, 2^7652284416 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 7652284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755957760).

7652284416 is an abundant number, since it is smaller than the sum of its proper divisors (17859631104).

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

7652284416 is a wasteful number, since it uses less digits than its factorization.

7652284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

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

The square root of 7652284416 is about 87477.3365849693. The cubic root of 7652284416 is about 1970.5934477746.

The spelling of 7652284416 in words is "seven billion, six hundred fifty-two million, two hundred eighty-four thousand, four hundred sixteen".