6446394240 has 512 divisors, whose sum is σ = 24651164160. Its totient is φ = 1412136960.

The previous prime is 6446394239. The next prime is 6446394307. The reversal of 6446394240 is 424936446.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6446394192 and 6446394201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14551459 + ... + 14551901.

It is an arithmetic number, because the mean of its divisors is an integer number (48146805).

Almost surely, 2^6446394240 is an apocalyptic number.

6446394240 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 6446394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325582080).

6446394240 is an abundant number, since it is smaller than the sum of its proper divisors (18204769920).

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

6446394240 is a wasteful number, since it uses less digits than its factorization.

6446394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 6446394240 is about 80289.4404015871. The cubic root of 6446394240 is about 1861.1110485331. Note that the first 3 decimals are identical.

The spelling of 6446394240 in words is "six billion, four hundred forty-six million, three hundred ninety-four thousand, two hundred forty".