1768393378080 has 768 divisors, whose sum is σ = 7425744076800. Its totient is φ = 384523407360.

The previous prime is 1768393378067. The next prime is 1768393378097. The reversal of 1768393378080 is 808733938671.

1768393378080 is a `hidden beast` number, since 1 + 7 + 68 + 393 + 37 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1768393377999 and 1768393378017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55292974 + ... + 55324946.

It is an arithmetic number, because the mean of its divisors is an integer number (9668937600).

Almost surely, 2^{1768393378080} is an apocalyptic number.

1768393378080 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 1768393378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712872038400).

1768393378080 is an abundant number, since it is smaller than the sum of its proper divisors (5657350698720).

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

1768393378080 is a wasteful number, since it uses less digits than its factorization.

1768393378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32094 (or 32080 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1768393378080 in words is "one trillion, seven hundred sixty-eight billion, three hundred ninety-three million, three hundred seventy-eight thousand, eighty".