8042818608000 has 768 divisors, whose sum is σ = 31711248204480. Its totient is φ = 1937295360000.

The previous prime is 8042818607927. The next prime is 8042818608043. The reversal of 8042818608000 is 8068182408.

It is a happy number.

8042818608000 is a `hidden beast` number, since 8 + 0 + 4 + 28 + 18 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8042818608000² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248671830 + ... + 248704170.

Almost surely, 2^{8042818608000} is an apocalyptic number.

8042818608000 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 8042818608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855624102240).

8042818608000 is an abundant number, since it is smaller than the sum of its proper divisors (23668429596480).

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

8042818608000 is a wasteful number, since it uses less digits than its factorization.

8042818608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32544 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 8042818608000 in words is "eight trillion, forty-two billion, eight hundred eighteen million, six hundred eight thousand".