1768068000 has 576 divisors, whose sum is σ = 6954450048. Its totient is φ = 439603200.

The previous prime is 1768067993. The next prime is 1768068007. The reversal of 1768068000 is 8608671.

It is an interprime number because it is at equal distance from previous prime (1768067993) and next prime (1768068007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1768068007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16523947 + ... + 16524053.

It is an arithmetic number, because the mean of its divisors is an integer number (12073698).

Almost surely, 2^1768068000 is an apocalyptic number.

1768068000 is a gapful number since it is divisible by the number (10) 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 1768068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477225024).

1768068000 is an abundant number, since it is smaller than the sum of its proper divisors (5186382048).

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

1768068000 is a wasteful number, since it uses less digits than its factorization.

1768068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1768068000 is about 42048.4006830224. The cubic root of 1768068000 is about 1209.2042214232.

The spelling of 1768068000 in words is "one billion, seven hundred sixty-eight million, sixty-eight thousand".