8168688000 has 768 divisors, whose sum is σ = 33361735680. Its totient is φ = 1969920000.

The previous prime is 8168687977. The next prime is 8168688019. The reversal of 8168688000 is 8868618.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767905 + ... + 42768095.

It is an arithmetic number, because the mean of its divisors is an integer number (43439760).

Almost surely, 2^8168688000 is an apocalyptic number.

8168688000 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 8168688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680867840).

8168688000 is an abundant number, since it is smaller than the sum of its proper divisors (25193047680).

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

8168688000 is a wasteful number, since it uses less digits than its factorization.

8168688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8168688000 is about 90380.7944200536. The cubic root of 8168688000 is about 2013.9596704378.

The spelling of 8168688000 in words is "eight billion, one hundred sixty-eight million, six hundred eighty-eight thousand".