6321601440 has 864 divisors, whose sum is σ = 27857426688. Its totient is φ = 1277337600.

The previous prime is 6321601439. The next prime is 6321601457. The reversal of 6321601440 is 441061236.

6321601440 is a `hidden beast` number, since 6 + 3 + 216 + 0 + 1 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86597244 + ... + 86597316.

It is an arithmetic number, because the mean of its divisors is an integer number (32242392).

Almost surely, 2^6321601440 is an apocalyptic number.

6321601440 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 6321601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928713344).

6321601440 is an abundant number, since it is smaller than the sum of its proper divisors (21535825248).

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

6321601440 is a wasteful number, since it uses less digits than its factorization.

6321601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6321601440 is about 79508.4991683279. The cubic root of 6321601440 is about 1849.0232428468.

Adding to 6321601440 its reverse (441061236), we get a palindrome (6762662676).

The spelling of 6321601440 in words is "six billion, three hundred twenty-one million, six hundred one thousand, four hundred forty".