8121738240 has 1056 divisors, whose sum is σ = 36963907200. Its totient is φ = 1672151040.

The previous prime is 8121738239. The next prime is 8121738293. The reversal of 8121738240 is 428371218.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8121738195 and 8121738204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511306 + ... + 74511414.

It is an arithmetic number, because the mean of its divisors is an integer number (35003700).

Almost surely, 2^8121738240 is an apocalyptic number.

8121738240 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 8121738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481953600).

8121738240 is an abundant number, since it is smaller than the sum of its proper divisors (28842168960).

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

8121738240 is a wasteful number, since it uses less digits than its factorization.

8121738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8121738240 is about 90120.6870812690. The cubic root of 8121738240 is about 2010.0938249809.

The spelling of 8121738240 in words is "eight billion, one hundred twenty-one million, seven hundred thirty-eight thousand, two hundred forty".