6344006540736 has 112 divisors (see below), whose sum is σ = 16963570750464. Its totient is φ = 2092232303616.

The previous prime is 6344006540713. The next prime is 6344006540741. The reversal of 6344006540736 is 6370456004436.

It is a super-2 number, since 2×6344006540736² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21667510 + ... + 21958346.

Almost surely, 2^{6344006540736} 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 6344006540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481785375232).

6344006540736 is an abundant number, since it is smaller than the sum of its proper divisors (10619564209728).

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

6344006540736 is a wasteful number, since it uses less digits than its factorization.

6344006540736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292058 (or 292048 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 6344006540736 in words is "six trillion, three hundred forty-four billion, six million, five hundred forty thousand, seven hundred thirty-six".