8383950720 has 384 divisors, whose sum is σ = 29766896640. Its totient is φ = 2173796352.

The previous prime is 8383950709. The next prime is 8383950749. The reversal of 8383950720 is 270593838.

It is a tau number, because it is divible by the number of its divisors (384).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53400882 + ... + 53401038.

It is an arithmetic number, because the mean of its divisors is an integer number (77517960).

Almost surely, 2^8383950720 is an apocalyptic number.

8383950720 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 8383950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883448320).

8383950720 is an abundant number, since it is smaller than the sum of its proper divisors (21382945920).

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

8383950720 is a wasteful number, since it uses less digits than its factorization.

8383950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8383950720 is about 91563.9160368319. The cubic root of 8383950720 is about 2031.4972509502.

The spelling of 8383950720 in words is "eight billion, three hundred eighty-three million, nine hundred fifty thousand, seven hundred twenty".