8117643643200 has 1512 divisors, whose sum is σ = 38271161473272. Its totient is φ = 1611953602560.

The previous prime is 8117643643199. The next prime is 8117643643223. The reversal of 8117643643200 is 23463467118.

8117643643200 is a `hidden beast` number, since 8 + 1 + 1 + 7 + 6 + 436 + 4 + 3 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1689958400256 + 6427685242944 = 1299984^2 + 2535288^2 .

It is a super-2 number, since 2×8117643643200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 155911572 + ... + 155963628.

It is an arithmetic number, because the mean of its divisors is an integer number (25311614731).

Almost surely, 2^{8117643643200} is an apocalyptic number.

8117643643200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8117643643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135580736636).

8117643643200 is an abundant number, since it is smaller than the sum of its proper divisors (30153517830072).

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

8117643643200 is a wasteful number, since it uses less digits than its factorization.

8117643643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52129 (or 52104 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 8117643643200 in words is "eight trillion, one hundred seventeen billion, six hundred forty-three million, six hundred forty-three thousand, two hundred".