6493140239040 has 672 divisors, whose sum is σ = 28347386088960. Its totient is φ = 1369979080704.

The previous prime is 6493140239017. The next prime is 6493140239041. The reversal of 6493140239040 is 409320413946.

6493140239040 is a `hidden beast` number, since 6 + 493 + 14 + 0 + 23 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6493140239041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9903487 + ... + 10538753.

Almost surely, 2^{6493140239040} is an apocalyptic number.

6493140239040 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 6493140239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173693044480).

6493140239040 is an abundant number, since it is smaller than the sum of its proper divisors (21854245849920).

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

6493140239040 is a wasteful number, since it uses less digits than its factorization.

6493140239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635326 (or 635297 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6493140239040 in words is "six trillion, four hundred ninety-three billion, one hundred forty million, two hundred thirty-nine thousand, forty".