6824377440 has 768 divisors, whose sum is σ = 26998272000. Its totient is φ = 1602478080.

The previous prime is 6824377409. The next prime is 6824377447. The reversal of 6824377440 is 447734286.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824377447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111875010 + ... + 111875070.

It is an arithmetic number, because the mean of its divisors is an integer number (35154000).

Almost surely, 2^6824377440 is an apocalyptic number.

6824377440 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 6824377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136000).

6824377440 is an abundant number, since it is smaller than the sum of its proper divisors (20173894560).

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

6824377440 is a wasteful number, since it uses less digits than its factorization.

6824377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 6824377440 is about 82609.7902188354. The cubic root of 6824377440 is about 1896.7976935058.

The spelling of 6824377440 in words is "six billion, eight hundred twenty-four million, three hundred seventy-seven thousand, four hundred forty".