6538362143040 has 2688 divisors, whose sum is σ = 29584026501120. Its totient is φ = 1288750694400.

The previous prime is 6538362142997. The next prime is 6538362143051. The reversal of 6538362143040 is 403412638356.

6538362143040 is a `hidden beast` number, since 6 + 53 + 83 + 6 + 214 + 304 + 0 = 666.

It is a super-3 number, since 3×6538362143040³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39151869037 + ... + 39151869203.

It is an arithmetic number, because the mean of its divisors is an integer number (11005962240).

Almost surely, 2^{6538362143040} is an apocalyptic number.

6538362143040 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 6538362143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792013250560).

6538362143040 is an abundant number, since it is smaller than the sum of its proper divisors (23045664358080).

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

6538362143040 is a wasteful number, since it uses less digits than its factorization.

6538362143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6538362143040 in words is "six trillion, five hundred thirty-eight billion, three hundred sixty-two million, one hundred forty-three thousand, forty".