9287987664400 has 45 divisors (see below), whose sum is σ = 22314536802823. Its totient is φ = 3715170684800.

The previous prime is 9287987664343. The next prime is 9287987664443. The reversal of 9287987664400 is 44667897829.

It is a happy number.

The square root of 9287987664400 is 3047620.

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 1234560987664 + 8053426676736 = 1111108^2 + 2837856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9287987664400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60876210 + ... + 61028590.

Almost surely, 2^{9287987664400} is an apocalyptic number.

9287987664400 is the 3047620-th square number.

It is an amenable number.

9287987664400 is an abundant number, since it is smaller than the sum of its proper divisors (13026549138423).

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

9287987664400 is an frugal number, since it uses more digits than its factorization.

9287987664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304780 (or 152388 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 70.

The spelling of 9287987664400 in words is "nine trillion, two hundred eighty-seven billion, nine hundred eighty-seven million, six hundred sixty-four thousand, four hundred".