6401284736 has 384 divisors, whose sum is σ = 17347115520. Its totient is φ = 2322432000.

The previous prime is 6401284723. The next prime is 6401284801. The reversal of 6401284736 is 6374821046.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 6401284693 and 6401284702.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 87688796 + ... + 87688868.

It is an arithmetic number, because the mean of its divisors is an integer number (45174780).

Almost surely, 2^6401284736 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 6401284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673557760).

6401284736 is an abundant number, since it is smaller than the sum of its proper divisors (10945830784).

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

6401284736 is a wasteful number, since it uses less digits than its factorization.

6401284736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 6401284736 is about 80008.0291970750. The cubic root of 6401284736 is about 1856.7597588055.

The spelling of 6401284736 in words is "six billion, four hundred one million, two hundred eighty-four thousand, seven hundred thirty-six".