7644487680 has 336 divisors, whose sum is σ = 26912026440. Its totient is φ = 2006974464.

The previous prime is 7644487661. The next prime is 7644487703. The reversal of 7644487680 is 867844467.

It can be written as a sum of positive squares in 4 ways, for example, as 3798503424 + 3845984256 = 61632^2 + 62016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32808844 + ... + 32809076.

Almost surely, 2^7644487680 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 7644487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456013220).

7644487680 is an abundant number, since it is smaller than the sum of its proper divisors (19267538760).

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

7644487680 is a wasteful number, since it uses less digits than its factorization.

7644487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 7644487680 is about 87432.7609080258. The cubic root of 7644487680 is about 1969.9239562838.

The spelling of 7644487680 in words is "seven billion, six hundred forty-four million, four hundred eighty-seven thousand, six hundred eighty".