6738317440 has 64 divisors (see below), whose sum is σ = 16168648320. Its totient is φ = 2685312000.

The previous prime is 6738317431. The next prime is 6738317471. The reversal of 6738317440 is 447138376.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154015 + ... + 192865.

It is an arithmetic number, because the mean of its divisors is an integer number (252635130).

Almost surely, 2^6738317440 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 6738317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084324160).

6738317440 is an abundant number, since it is smaller than the sum of its proper divisors (9430330880).

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

6738317440 is a wasteful number, since it uses less digits than its factorization.

6738317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39141 (or 39129 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 6738317440 is about 82087.2550399878. The cubic root of 6738317440 is about 1888.7906412772.

The spelling of 6738317440 in words is "six billion, seven hundred thirty-eight million, three hundred seventeen thousand, four hundred forty".