1768352256 has 320 divisors, whose sum is σ = 5921942400. Its totient is φ = 516096000.

The previous prime is 1768352231. The next prime is 1768352269. The reversal of 1768352256 is 6522538671.

1768352256 is a `hidden beast` number, since 1 + 76 + 8 + 3 + 522 + 56 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4409656 + ... + 4410056.

It is an arithmetic number, because the mean of its divisors is an integer number (18506070).

Almost surely, 2^1768352256 is an apocalyptic number.

1768352256 is a gapful number since it is divisible by the number (16) 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 1768352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960971200).

1768352256 is an abundant number, since it is smaller than the sum of its proper divisors (4153590144).

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

1768352256 is a wasteful number, since it uses less digits than its factorization.

1768352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 1768352256 is about 42051.7806519534. The cubic root of 1768352256 is about 1209.2690200502.

The spelling of 1768352256 in words is "one billion, seven hundred sixty-eight million, three hundred fifty-two thousand, two hundred fifty-six".