7644004900 has 81 divisors (see below), whose sum is σ = 19311113619. Its totient is φ = 2618703360.

The previous prime is 7644004889. The next prime is 7644004909. The reversal of 7644004900 is 94004467.

The square root of 7644004900 is 87430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 408120804 + 7235884096 = 20202^2 + 85064^2 .

It is a super-2 number, since 2×7644004900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7644004909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6119476 + ... + 6120724.

Almost surely, 2^7644004900 is an apocalyptic number.

7644004900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7644004900 is the 87430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7644004900

7644004900 is an abundant number, since it is smaller than the sum of its proper divisors (11667108719).

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

7644004900 is a wasteful number, since it uses less digits than its factorization.

7644004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 7644004900 is about 1969.8824858827.

The spelling of 7644004900 in words is "seven billion, six hundred forty-four million, four thousand, nine hundred".