6490281738240 has 1680 divisors, whose sum is σ = 26309346497280. Its totient is φ = 1522029035520.

The previous prime is 6490281738233. The next prime is 6490281738293. The reversal of 6490281738240 is 428371820946.

6490281738240 is a `hidden beast` number, since 6 + 4 + 90 + 281 + 7 + 38 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209363927025 + ... + 209363927055.

It is an arithmetic number, because the mean of its divisors is an integer number (15660325296).

Almost surely, 2^{6490281738240} is an apocalyptic number.

6490281738240 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 6490281738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154673248640).

6490281738240 is an abundant number, since it is smaller than the sum of its proper divisors (19819064759040).

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

6490281738240 is an frugal number, since it uses more digits than its factorization.

6490281738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6490281738240 in words is "six trillion, four hundred ninety billion, two hundred eighty-one million, seven hundred thirty-eight thousand, two hundred forty".