6311312640 has 432 divisors, whose sum is σ = 22981166208. Its totient is φ = 1658216448.

The previous prime is 6311312621. The next prime is 6311312671. The reversal of 6311312640 is 462131136.

6311312640 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 3 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32037022 + ... + 32037218.

It is an arithmetic number, because the mean of its divisors is an integer number (53197144).

Almost surely, 2^6311312640 is an apocalyptic number.

6311312640 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 6311312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490583104).

6311312640 is an abundant number, since it is smaller than the sum of its proper divisors (16669853568).

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

6311312640 is a wasteful number, since it uses less digits than its factorization.

6311312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6311312640 is about 79443.7703032780. The cubic root of 6311312640 is about 1848.0195646436.

Adding to 6311312640 its reverse (462131136), we get a palindrome (6773443776).

The spelling of 6311312640 in words is "six billion, three hundred eleven million, three hundred twelve thousand, six hundred forty".