6386879745792 has 2592 divisors, whose sum is σ = 26717614560000. Its totient is φ = 1498916192256.

The previous prime is 6386879745749. The next prime is 6386879745793. The reversal of 6386879745792 is 2975479786836.

It is a happy number.

6386879745792 is a `hidden beast` number, since 6 + 3 + 8 + 6 + 8 + 79 + 7 + 457 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (7681443840) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6386879745793) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12799357959 + ... + 12799358457.

Almost surely, 2^{6386879745792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6386879745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358807280000).

6386879745792 is an abundant number, since it is smaller than the sum of its proper divisors (20330734814208).

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

6386879745792 is a wasteful number, since it uses less digits than its factorization.

6386879745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 560 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 6386879745792 in words is "six trillion, three hundred eighty-six billion, eight hundred seventy-nine million, seven hundred forty-five thousand, seven hundred ninety-two".