8038340560800 has 1296 divisors, whose sum is σ = 32978266068384. Its totient is φ = 1826795520000.

The previous prime is 8038340560739. The next prime is 8038340560813. The reversal of 8038340560800 is 80650438308.

8038340560800 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 3 + 4 + 0 + 560 + 80 + 0 = 666.

It is a super-2 number, since 2×8038340560800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7576192270 + ... + 7576193330.

It is an arithmetic number, because the mean of its divisors is an integer number (25446192954).

Almost surely, 2^{8038340560800} is an apocalyptic number.

8038340560800 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 8038340560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489133034192).

8038340560800 is an abundant number, since it is smaller than the sum of its proper divisors (24939925507584).

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

8038340560800 is a wasteful number, since it uses less digits than its factorization.

8038340560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8038340560800 in words is "eight trillion, thirty-eight billion, three hundred forty million, five hundred sixty thousand, eight hundred".