6739358758440 has 256 divisors, whose sum is σ = 25210926673920. Its totient is φ = 1400165437440.

The previous prime is 6739358758387. The next prime is 6739358758459. The reversal of 6739358758440 is 448578539376.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62195749 + ... + 62304011.

It is an arithmetic number, because the mean of its divisors is an integer number (98480182320).

Almost surely, 2^{6739358758440} is an apocalyptic number.

6739358758440 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 6739358758440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605463336960).

6739358758440 is an abundant number, since it is smaller than the sum of its proper divisors (18471567915480).

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

6739358758440 is a wasteful number, since it uses less digits than its factorization.

6739358758440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115032 (or 115028 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 69.

The spelling of 6739358758440 in words is "six trillion, seven hundred thirty-nine billion, three hundred fifty-eight million, seven hundred fifty-eight thousand, four hundred forty".