8383384638720 has 1152 divisors, whose sum is σ = 36993427860480. Its totient is φ = 1750503260160.

The previous prime is 8383384638701. The next prime is 8383384638779. The reversal of 8383384638720 is 278364833838.

It is a happy number.

8383384638720 is a `hidden beast` number, since 83 + 83 + 3 + 84 + 6 + 387 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×8383384638720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305047380 + ... + 305074860.

Almost surely, 2^{8383384638720} is an apocalyptic number.

8383384638720 is a gapful number since it is divisible by the number (80) 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 8383384638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496713930240).

8383384638720 is an abundant number, since it is smaller than the sum of its proper divisors (28610043221760).

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

8383384638720 is a wasteful number, since it uses less digits than its factorization.

8383384638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27628 (or 27608 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 8383384638720 in words is "eight trillion, three hundred eighty-three billion, three hundred eighty-four million, six hundred thirty-eight thousand, seven hundred twenty".