8388434968320 has 1152 divisors, whose sum is σ = 32356238745600. Its totient is φ = 1828174233600.

The previous prime is 8388434968283. The next prime is 8388434968387. The reversal of 8388434968320 is 238694348838.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 2418111546 + ... + 2418115014.

It is an arithmetic number, because the mean of its divisors is an integer number (28087012800).

Almost surely, 2^{8388434968320} is an apocalyptic number.

8388434968320 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 8388434968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178119372800).

8388434968320 is an abundant number, since it is smaller than the sum of its proper divisors (23967803777280).

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

8388434968320 is a wasteful number, since it uses less digits than its factorization.

8388434968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 66.

The spelling of 8388434968320 in words is "eight trillion, three hundred eighty-eight billion, four hundred thirty-four million, nine hundred sixty-eight thousand, three hundred twenty".