4268685083520 has 1536 divisors, whose sum is σ = 17308670561280. Its totient is φ = 885620736000.

The previous prime is 4268685083471. The next prime is 4268685083543. The reversal of 4268685083520 is 253805868624.

It is a super-3 number, since 3×4268685083520³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3645332535 + ... + 3645333705.

It is an arithmetic number, because the mean of its divisors is an integer number (11268665730).

Almost surely, 2^{4268685083520} is an apocalyptic number.

4268685083520 is a gapful number since it is divisible by the number (40) 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 4268685083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654335280640).

4268685083520 is an abundant number, since it is smaller than the sum of its proper divisors (13039985477760).

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

4268685083520 is a wasteful number, since it uses less digits than its factorization.

4268685083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 4268685083520 in words is "four trillion, two hundred sixty-eight billion, six hundred eighty-five million, eighty-three thousand, five hundred twenty".