6394416480 has 384 divisors, whose sum is σ = 23710579200. Its totient is φ = 1606735872.

The previous prime is 6394416433. The next prime is 6394416481. The reversal of 6394416480 is 846144936.

6394416480 is a `hidden beast` number, since 639 + 4 + 4 + 1 + 6 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6394416481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5386447 + ... + 5387633.

It is an arithmetic number, because the mean of its divisors is an integer number (61746300).

Almost surely, 2^6394416480 is an apocalyptic number.

6394416480 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 6394416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855289600).

6394416480 is an abundant number, since it is smaller than the sum of its proper divisors (17316162720).

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

6394416480 is a wasteful number, since it uses less digits than its factorization.

6394416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6394416480 is about 79965.0953854243. The cubic root of 6394416480 is about 1856.0954512692.

The spelling of 6394416480 in words is "six billion, three hundred ninety-four million, four hundred sixteen thousand, four hundred eighty".