6734058240 has 432 divisors, whose sum is σ = 26952494688. Its totient is φ = 1420296192.

The previous prime is 6734058239. The next prime is 6734058263. The reversal of 6734058240 is 428504376.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444704 + ... + 2447456.

It is an arithmetic number, because the mean of its divisors is an integer number (62390034).

Almost surely, 2^6734058240 is an apocalyptic number.

6734058240 is a gapful number since it is divisible by the number (60) 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 6734058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476247344).

6734058240 is an abundant number, since it is smaller than the sum of its proper divisors (20218436448).

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

6734058240 is a wasteful number, since it uses less digits than its factorization.

6734058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 6734058240 is about 82061.3078131223. The cubic root of 6734058240 is about 1888.3925976629.

The spelling of 6734058240 in words is "six billion, seven hundred thirty-four million, fifty-eight thousand, two hundred forty".