6385091811840 has 480 divisors, whose sum is σ = 26383311092160. Its totient is φ = 1459448782848.

The previous prime is 6385091811829. The next prime is 6385091811869. The reversal of 6385091811840 is 481181905836.

It is a happy number.

6385091811840 is a `hidden beast` number, since 6 + 3 + 8 + 509 + 1 + 81 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444259 + ... + 4329501.

It is an arithmetic number, because the mean of its divisors is an integer number (54965231442).

Almost surely, 2^{6385091811840} is an apocalyptic number.

6385091811840 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 6385091811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191655546080).

6385091811840 is an abundant number, since it is smaller than the sum of its proper divisors (19998219280320).

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

6385091811840 is a wasteful number, since it uses less digits than its factorization.

6385091811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885289 (or 1885260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 6385091811840 in words is "six trillion, three hundred eighty-five billion, ninety-one million, eight hundred eleven thousand, eight hundred forty".