6398028171072 has 560 divisors, whose sum is σ = 19628846899200. Its totient is φ = 2059785262080.

The previous prime is 6398028171071. The next prime is 6398028171127. The reversal of 6398028171072 is 2701718208936.

It is a happy number.

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 (6398028171071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4041709993 + ... + 4041711575.

It is an arithmetic number, because the mean of its divisors is an integer number (35051512320).

Almost surely, 2^{6398028171072} 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 6398028171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814423449600).

6398028171072 is an abundant number, since it is smaller than the sum of its proper divisors (13230818728128).

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

6398028171072 is a wasteful number, since it uses less digits than its factorization.

6398028171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6398028171072 in words is "six trillion, three hundred ninety-eight billion, twenty-eight million, one hundred seventy-one thousand, seventy-two".