8064241200000 has 768 divisors, whose sum is σ = 30383855308800. Its totient is φ = 2104577280000.

The previous prime is 8064241199951. The next prime is 8064241200017. The reversal of 8064241200000 is 21424608.

8064241200000 is a `hidden beast` number, since 8 + 0 + 642 + 4 + 12 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8064241200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507592057 + ... + 507607943.

It is an arithmetic number, because the mean of its divisors is an integer number (39562311600).

Almost surely, 2^{8064241200000} is an apocalyptic number.

8064241200000 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 8064241200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191927654400).

8064241200000 is an abundant number, since it is smaller than the sum of its proper divisors (22319614108800).

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

8064241200000 is an equidigital number, since it uses as much as digits as its factorization.

8064241200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 8064241200000 its reverse (21424608), we get a palindrome (8064262624608).

The spelling of 8064241200000 in words is "eight trillion, sixty-four billion, two hundred forty-one million, two hundred thousand".