6412889874816 has 224 divisors, whose sum is σ = 19672462804800. Its totient is φ = 2079855055872.

The previous prime is 6412889874803. The next prime is 6412889874821. The reversal of 6412889874816 is 6184789882146.

It is a happy number.

6412889874816 is a `hidden beast` number, since 6 + 41 + 28 + 8 + 9 + 87 + 481 + 6 = 666.

It is a super-2 number, since 2×6412889874816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2523825 + ... + 4381263.

Almost surely, 2^{6412889874816} 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 6412889874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836231402400).

6412889874816 is an abundant number, since it is smaller than the sum of its proper divisors (13259572929984).

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

6412889874816 is an equidigital number, since it uses as much as digits as its factorization.

6412889874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857508 (or 1857481 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 6412889874816 in words is "six trillion, four hundred twelve billion, eight hundred eighty-nine million, eight hundred seventy-four thousand, eight hundred sixteen".