6311904640 has 128 divisors (see below), whose sum is σ = 15527761920. Its totient is φ = 2452101120.

The previous prime is 6311904601. The next prime is 6311904659. The reversal of 6311904640 is 464091136.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6311904596 and 6311904605.

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 15 ways as a sum of consecutive naturals, for example, 5806177 + ... + 5807263.

It is an arithmetic number, because the mean of its divisors is an integer number (121310640).

Almost surely, 2^6311904640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6311904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763880960).

6311904640 is an abundant number, since it is smaller than the sum of its proper divisors (9215857280).

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

6311904640 is a wasteful number, since it uses less digits than its factorization.

6311904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6311904640 is about 79447.4961216526. The cubic root of 6311904640 is about 1848.0773441389.

Adding to 6311904640 its reverse (464091136), we get a palindrome (6775995776).

The spelling of 6311904640 in words is "six billion, three hundred eleven million, nine hundred four thousand, six hundred forty".