6783338520 has 240 divisors, whose sum is σ = 26522551440. Its totient is φ = 1550441088.

The previous prime is 6783338519. The next prime is 6783338539. The reversal of 6783338520 is 258333876.

6783338520 is a `hidden beast` number, since 67 + 8 + 33 + 38 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137397 + ... + 180123.

It is an arithmetic number, because the mean of its divisors is an integer number (110510631).

Almost surely, 2^6783338520 is an apocalyptic number.

6783338520 is a gapful number since it is divisible by the number (60) 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 6783338520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261275720).

6783338520 is an abundant number, since it is smaller than the sum of its proper divisors (19739212920).

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

6783338520 is a wasteful number, since it uses less digits than its factorization.

6783338520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42764 (or 42744 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6783338520 is about 82361.0254914301. The cubic root of 6783338520 is about 1892.9878666395.

The spelling of 6783338520 in words is "six billion, seven hundred eighty-three million, three hundred thirty-eight thousand, five hundred twenty".