6312123840 has 448 divisors, whose sum is σ = 22858536960. Its totient is φ = 1462272000.

The previous prime is 6312123833. The next prime is 6312123871. The reversal of 6312123840 is 483212136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6312123798 and 6312123807.

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 63 ways as a sum of consecutive naturals, for example, 26410441 + ... + 26410679.

It is an arithmetic number, because the mean of its divisors is an integer number (51023520).

Almost surely, 2^6312123840 is an apocalyptic number.

6312123840 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 6312123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

6312123840 is an abundant number, since it is smaller than the sum of its proper divisors (16546413120).

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

6312123840 is a wasteful number, since it uses less digits than its factorization.

6312123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6312123840 is about 79448.8756371039. The cubic root of 6312123840 is about 1848.0987372518.

Adding to 6312123840 its reverse (483212136), we get a palindrome (6795335976).

The spelling of 6312123840 in words is "six billion, three hundred twelve million, one hundred twenty-three thousand, eight hundred forty".