6400215360 has 1344 divisors, whose sum is σ = 30431232000. Its totient is φ = 1219276800.

The previous prime is 6400215337. The next prime is 6400215377. The reversal of 6400215360 is 635120046.

6400215360 is a `hidden beast` number, since 640 + 0 + 2 + 15 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 206458545 + ... + 206458575.

Almost surely, 2^6400215360 is an apocalyptic number.

6400215360 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 6400215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215616000).

6400215360 is an abundant number, since it is smaller than the sum of its proper divisors (24031016640).

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

6400215360 is a wasteful number, since it uses less digits than its factorization.

6400215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6400215360 is about 80001.3459886770. The cubic root of 6400215360 is about 1856.6563584734.

The spelling of 6400215360 in words is "six billion, four hundred million, two hundred fifteen thousand, three hundred sixty".