7680352284 has 144 divisors (see below), whose sum is σ = 22091771520. Its totient is φ = 2313800640.

The previous prime is 7680352283. The next prime is 7680352289. The reversal of 7680352284 is 4822530867.

It is a super-2 number, since 2×7680352284² (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 (7680352283) 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, 1911862 + ... + 1915874.

It is an arithmetic number, because the mean of its divisors is an integer number (153415080).

Almost surely, 2^7680352284 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 7680352284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045885760).

7680352284 is an abundant number, since it is smaller than the sum of its proper divisors (14411419236).

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

7680352284 is a wasteful number, since it uses less digits than its factorization.

7680352284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4208 counting only the distinct ones).

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

The square root of 7680352284 is about 87637.6191141681. The cubic root of 7680352284 is about 1972.9998259147. Note that the first 3 decimals are identical.

The spelling of 7680352284 in words is "seven billion, six hundred eighty million, three hundred fifty-two thousand, two hundred eighty-four".