6240819312 has 480 divisors, whose sum is σ = 23051857920. Its totient is φ = 1590036480.

The previous prime is 6240819311. The next prime is 6240819317. The reversal of 6240819312 is 2139180426.

6240819312 is a `hidden beast` number, since 62 + 408 + 193 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240819311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10967764 + ... + 10968332.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^6240819312 is an apocalyptic number.

6240819312 is a gapful number since it is divisible by the number (62) 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 6240819312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525928960).

6240819312 is an abundant number, since it is smaller than the sum of its proper divisors (16811038608).

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

6240819312 is a wasteful number, since it uses less digits than its factorization.

6240819312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6240819312 is about 78998.8563967859. The cubic root of 6240819312 is about 1841.1133888465.

Adding to 6240819312 its reverse (2139180426), we get a palindrome (8379999738).

The spelling of 6240819312 in words is "six billion, two hundred forty million, eight hundred nineteen thousand, three hundred twelve".