6493142916720 has 240 divisors, whose sum is σ = 22563061657344. Its totient is φ = 1671667200000.

The previous prime is 6493142916719. The next prime is 6493142916721. The reversal of 6493142916720 is 276192413946.

6493142916720 is a `hidden beast` number, since 6 + 4 + 9 + 31 + 429 + 167 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6493142916719) and next prime (6493142916721).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6493142916720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493142916721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9051220 + ... + 9742220.

Almost surely, 2^{6493142916720} is an apocalyptic number.

6493142916720 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 6493142916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281530828672).

6493142916720 is an abundant number, since it is smaller than the sum of its proper divisors (16069918740624).

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

6493142916720 is a wasteful number, since it uses less digits than its factorization.

6493142916720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691472 (or 691463 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6493142916720 in words is "six trillion, four hundred ninety-three billion, one hundred forty-two million, nine hundred sixteen thousand, seven hundred twenty".