6238850567040 has 3072 divisors, whose sum is σ = 30427778304000. Its totient is φ = 1191909261312.

The previous prime is 6238850567029. The next prime is 6238850567071. The reversal of 6238850567040 is 407650588326.

6238850567040 is a `hidden beast` number, since 6 + 2 + 38 + 8 + 5 + 0 + 567 + 0 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4810215672 + ... + 4810216968.

It is an arithmetic number, because the mean of its divisors is an integer number (9904875750).

Almost surely, 2^{6238850567040} is an apocalyptic number.

6238850567040 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 6238850567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213889152000).

6238850567040 is an abundant number, since it is smaller than the sum of its proper divisors (24188927736960).

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

6238850567040 is a wasteful number, since it uses less digits than its factorization.

6238850567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 6238850567040 in words is "six trillion, two hundred thirty-eight billion, eight hundred fifty million, five hundred sixty-seven thousand, forty".