4263883303680 has 3456 divisors, whose sum is σ = 21545395200000. Its totient is φ = 773250416640.

The previous prime is 4263883303643. The next prime is 4263883303781. The reversal of 4263883303680 is 863033883624.

It is a happy number.

4263883303680 is a `hidden beast` number, since 426 + 3 + 8 + 83 + 30 + 36 + 80 = 666.

4263883303680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×4263883303680² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 8544856071 + ... + 8544856569.

It is an arithmetic number, because the mean of its divisors is an integer number (6234200000).

Almost surely, 2^{4263883303680} is an apocalyptic number.

4263883303680 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 4263883303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772697600000).

4263883303680 is an abundant number, since it is smaller than the sum of its proper divisors (17281511896320).

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

4263883303680 is a wasteful number, since it uses less digits than its factorization.

4263883303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 4263883303680 in words is "four trillion, two hundred sixty-three billion, eight hundred eighty-three million, three hundred three thousand, six hundred eighty".