1768675040 has 192 divisors, whose sum is σ = 4840093440. Its totient is φ = 604016640.

The previous prime is 1768675003. The next prime is 1768675057. The reversal of 1768675040 is 405768671.

It is a super-2 number, since 2×1768675040² = 6256422794238003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1768674982 and 1768675000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7590764 + ... + 7590996.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^1768675040 is an apocalyptic number.

1768675040 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 1768675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1768675040 is an abundant number, since it is smaller than the sum of its proper divisors (3071418400).

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

1768675040 is a wasteful number, since it uses less digits than its factorization.

1768675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 1768675040 is about 42055.6184118127. The cubic root of 1768675040 is about 1209.3425930507.

The spelling of 1768675040 in words is "one billion, seven hundred sixty-eight million, six hundred seventy-five thousand, forty".