6389280000000 has 1920 divisors, whose sum is σ = 26129552248800. Its totient is φ = 1548288000000.

The previous prime is 6389279999989. The next prime is 6389280000013. The reversal of 6389280000000 is 829836.

It can be written as a sum of positive squares in 16 ways, for example, as 6369283777536 + 19996222464 = 2523744^2 + 141408^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6389280000000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220319999986 + ... + 220320000014.

Almost surely, 2^{6389280000000} is an apocalyptic number.

6389280000000 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 6389280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13064776124400).

6389280000000 is an abundant number, since it is smaller than the sum of its proper divisors (19740272248800).

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

6389280000000 is an frugal number, since it uses more digits than its factorization.

6389280000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 6389280000000 its reverse (829836), we get a palindrome (6389280829836).

The spelling of 6389280000000 in words is "six trillion, three hundred eighty-nine billion, two hundred eighty million", and thus it is an aban number.