6938744010240 has 640 divisors, whose sum is σ = 25601119137792. Its totient is φ = 1570441789440.

The previous prime is 6938744010221. The next prime is 6938744010259. The reversal of 6938744010240 is 420104478396.

It is an interprime number because it is at equal distance from previous prime (6938744010221) and next prime (6938744010259).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6938744010240.

It is a congruent number.

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, 2520428704 + ... + 2520431456.

Almost surely, 2^{6938744010240} is an apocalyptic number.

6938744010240 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 6938744010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800559568896).

6938744010240 is an abundant number, since it is smaller than the sum of its proper divisors (18662375127552).

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

6938744010240 is a wasteful number, since it uses less digits than its factorization.

6938744010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 6938744010240 in words is "six trillion, nine hundred thirty-eight billion, seven hundred forty-four million, ten thousand, two hundred forty".