6322004640 has 768 divisors, whose sum is σ = 26780544000. Its totient is φ = 1379524608.

The previous prime is 6322004627. The next prime is 6322004651. The reversal of 6322004640 is 464002236.

6322004640 is a `hidden beast` number, since 632 + 20 + 0 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71033716 + ... + 71033804.

It is an arithmetic number, because the mean of its divisors is an integer number (34870500).

Almost surely, 2^6322004640 is an apocalyptic number.

6322004640 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 6322004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

6322004640 is an abundant number, since it is smaller than the sum of its proper divisors (20458539360).

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

6322004640 is an equidigital number, since it uses as much as digits as its factorization.

6322004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6322004640 is about 79511.0347058822. The cubic root of 6322004640 is about 1849.0625530505.

Adding to 6322004640 its reverse (464002236), we get a palindrome (6786006876).

The spelling of 6322004640 in words is "six billion, three hundred twenty-two million, four thousand, six hundred forty".