7905241344 has 648 divisors, whose sum is σ = 29167078752. Its totient is φ = 1878589440.

The previous prime is 7905241291. The next prime is 7905241361. The reversal of 7905241344 is 4431425097.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 71 ways as a sum of consecutive naturals, for example, 69957832 + ... + 69957944.

It is an arithmetic number, because the mean of its divisors is an integer number (45010924).

Almost surely, 2^7905241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7905241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583539376).

7905241344 is an abundant number, since it is smaller than the sum of its proper divisors (21261837408).

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

7905241344 is a wasteful number, since it uses less digits than its factorization.

7905241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 7905241344 is about 88911.4241478563. The cubic root of 7905241344 is about 1992.0720607470.

The spelling of 7905241344 in words is "seven billion, nine hundred five million, two hundred forty-one thousand, three hundred forty-four".