7661324320 has 144 divisors (see below), whose sum is σ = 19675022472. Its totient is φ = 2817884160.

The previous prime is 7661324309. The next prime is 7661324339. The reversal of 7661324320 is 234231667.

It can be written as a sum of positive squares in 12 ways, for example, as 1860369424 + 5800954896 = 43132^2 + 76164^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11383504 + ... + 11384176.

Almost surely, 2^7661324320 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 7661324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837511236).

7661324320 is an abundant number, since it is smaller than the sum of its proper divisors (12013698152).

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

7661324320 is a wasteful number, since it uses less digits than its factorization.

7661324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 7661324320 is about 87528.9913114506. The cubic root of 7661324320 is about 1971.3691187800.

Adding to 7661324320 its reverse (234231667), we get a palindrome (7895555987).

The spelling of 7661324320 in words is "seven billion, six hundred sixty-one million, three hundred twenty-four thousand, three hundred twenty".