8338667335920 has 480 divisors, whose sum is σ = 29226874360320. Its totient is φ = 2209470151680.

The previous prime is 8338667335919. The next prime is 8338667336029. The reversal of 8338667335920 is 295337668338.

8338667335920 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 6 + 6 + 7 + 33 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2613181525 + ... + 2613184715.

It is an arithmetic number, because the mean of its divisors is an integer number (60889321584).

Almost surely, 2^{8338667335920} is an apocalyptic number.

8338667335920 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 8338667335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613437180160).

8338667335920 is an abundant number, since it is smaller than the sum of its proper divisors (20888207024400).

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

8338667335920 is a wasteful number, since it uses less digits than its factorization.

8338667335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 8338667335920 in words is "eight trillion, three hundred thirty-eight billion, six hundred sixty-seven million, three hundred thirty-five thousand, nine hundred twenty".