6438284246760 has 256 divisors, whose sum is σ = 19706561280000. Its totient is φ = 1682437972992.

The previous prime is 6438284246743. The next prime is 6438284246887. The reversal of 6438284246760 is 676424828346.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6438284246694 and 6438284246703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829992802 + ... + 830000558.

It is an arithmetic number, because the mean of its divisors is an integer number (76978755000).

Almost surely, 2^{6438284246760} is an apocalyptic number.

6438284246760 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 6438284246760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853280640000).

6438284246760 is an abundant number, since it is smaller than the sum of its proper divisors (13268277033240).

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

6438284246760 is a wasteful number, since it uses less digits than its factorization.

6438284246760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 6438284246760 in words is "six trillion, four hundred thirty-eight billion, two hundred eighty-four million, two hundred forty-six thousand, seven hundred sixty".