1768149440640 has 1280 divisors, whose sum is σ = 7129039357440. Its totient is φ = 413857382400.

The previous prime is 1768149440627. The next prime is 1768149440669. The reversal of 1768149440640 is 460449418671.

1768149440640 is a `hidden beast` number, since 1 + 76 + 8 + 1 + 494 + 40 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3818897049 + ... + 3818897511.

It is an arithmetic number, because the mean of its divisors is an integer number (5569561998).

Almost surely, 2^{1768149440640} is an apocalyptic number.

1768149440640 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 1768149440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564519678720).

1768149440640 is an abundant number, since it is smaller than the sum of its proper divisors (5360889916800).

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

1768149440640 is a wasteful number, since it uses less digits than its factorization.

1768149440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1768149440640 in words is "one trillion, seven hundred sixty-eight billion, one hundred forty-nine million, four hundred forty thousand, six hundred forty".