8427641241600 has 1701 divisors, whose sum is σ = 36467457305097. Its totient is φ = 1926317998080.

The previous prime is 8427641241577. The next prime is 8427641241629. The reversal of 8427641241600 is 61421467248.

The square root of 8427641241600 is 2903040.

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

It is a Jordan-Polya number, since it can be written as (9!)² ⋅ (2!)⁶.

8427641241600 is a `hidden beast` number, since 8 + 4 + 2 + 76 + 412 + 4 + 160 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3033950846976 + 5393690394624 = 1741824^2 + 2322432^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1203948748797 + ... + 1203948748803.

Almost surely, 2^{8427641241600} is an apocalyptic number.

8427641241600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8427641241600 is the 2903040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8427641241600

8427641241600 is an abundant number, since it is smaller than the sum of its proper divisors (28039816063497).

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

8427641241600 is an frugal number, since it uses more digits than its factorization.

8427641241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8427641241600 in words is "eight trillion, four hundred twenty-seven billion, six hundred forty-one million, two hundred forty-one thousand, six hundred".