7644433664 has 72 divisors (see below), whose sum is σ = 17469822720. Its totient is φ = 3270371328.

The previous prime is 7644433649. The next prime is 7644433681. The reversal of 7644433664 is 4663344467.

It is a happy number.

It is a super-3 number, since 3×7644433664³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095017 + ... + 1101975.

Almost surely, 2^7644433664 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 7644433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734911360).

7644433664 is an abundant number, since it is smaller than the sum of its proper divisors (9825389056).

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

7644433664 is an equidigital number, since it uses as much as digits as its factorization.

7644433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7581 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 47.

The square root of 7644433664 is about 87432.4520072496. The cubic root of 7644433664 is about 1969.9193164410.

The spelling of 7644433664 in words is "seven billion, six hundred forty-four million, four hundred thirty-three thousand, six hundred sixty-four".