6446328134736 has 160 divisors (see below), whose sum is σ = 20039760547840. Its totient is φ = 1744343050752.

The previous prime is 6446328134713. The next prime is 6446328134749. The reversal of 6446328134736 is 6374318236446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21190686 + ... + 21492738.

It is an arithmetic number, because the mean of its divisors is an integer number (125248503424).

Almost surely, 2^{6446328134736} 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 6446328134736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019880273920).

6446328134736 is an abundant number, since it is smaller than the sum of its proper divisors (13593432413104).

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

6446328134736 is a wasteful number, since it uses less digits than its factorization.

6446328134736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305433 (or 305427 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 57.

The spelling of 6446328134736 in words is "six trillion, four hundred forty-six billion, three hundred twenty-eight million, one hundred thirty-four thousand, seven hundred thirty-six".