6385020276096 has 640 divisors, whose sum is σ = 24268392529920. Its totient is φ = 1617988608000.

The previous prime is 6385020276091. The next prime is 6385020276109. The reversal of 6385020276096 is 6906720205836.

6385020276096 is a `hidden beast` number, since 6 + 3 + 8 + 5 + 0 + 2 + 0 + 27 + 609 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6385020276091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32634241 + ... + 32829311.

It is an arithmetic number, because the mean of its divisors is an integer number (37919363328).

Almost surely, 2^{6385020276096} is an apocalyptic number.

6385020276096 is a gapful number since it is divisible by the number (66) 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 6385020276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134196264960).

6385020276096 is an abundant number, since it is smaller than the sum of its proper divisors (17883372253824).

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

6385020276096 is a wasteful number, since it uses less digits than its factorization.

6385020276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195156 (or 195135 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6385020276096 in words is "six trillion, three hundred eighty-five billion, twenty million, two hundred seventy-six thousand, ninety-six".