7661564200 has 24 divisors (see below), whose sum is σ = 17813137230. Its totient is φ = 3064625600.

The previous prime is 7661564167. The next prime is 7661564203. The reversal of 7661564200 is 24651667.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4469992164 + 3191572036 = 66858^2 + 56494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7661564200.

It is not an unprimeable number, because it can be changed into a prime (7661564203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19153711 + ... + 19154110.

Almost surely, 2^7661564200 is an apocalyptic number.

It is an amenable number.

7661564200 is an abundant number, since it is smaller than the sum of its proper divisors (10151573030).

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

7661564200 is a wasteful number, since it uses less digits than its factorization.

7661564200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38307837 (or 38307828 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 7661564200 is about 87530.3615895650. The cubic root of 7661564200 is about 1971.3896934252.

The spelling of 7661564200 in words is "seven billion, six hundred sixty-one million, five hundred sixty-four thousand, two hundred".