9627491952400 has 405 divisors, whose sum is σ = 27699480367839. Its totient is φ = 3206280430080.

The previous prime is 9627491952373. The next prime is 9627491952427. The reversal of 9627491952400 is 42591947269.

The square root of 9627491952400 is 3102820.

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

It is an interprime number because it is at equal distance from previous prime (9627491952373) and next prime (9627491952427).

It can be written as a sum of positive squares in 4 ways, for example, as 913943648016 + 8713548304384 = 956004^2 + 2951872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16072607301 + ... + 16072607899.

Almost surely, 2^{9627491952400} is an apocalyptic number.

9627491952400 is the 3102820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9627491952400

9627491952400 is an abundant number, since it is smaller than the sum of its proper divisors (18071988415439).

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

9627491952400 is an equidigital number, since it uses as much as digits as its factorization.

9627491952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 9627491952400 in words is "nine trillion, six hundred twenty-seven billion, four hundred ninety-one million, nine hundred fifty-two thousand, four hundred".