6838836480 has 576 divisors, whose sum is σ = 28158144000. Its totient is φ = 1558683648.

The previous prime is 6838836479. The next prime is 6838836541. The reversal of 6838836480 is 846388386.

It is a happy number.

6838836480 is a `hidden beast` number, since 6 + 83 + 8 + 83 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595346 + ... + 19595694.

Almost surely, 2^6838836480 is an apocalyptic number.

6838836480 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 6838836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079072000).

6838836480 is an abundant number, since it is smaller than the sum of its proper divisors (21319307520).

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

6838836480 is an frugal number, since it uses more digits than its factorization.

6838836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 6838836480 is about 82697.2579956555. The cubic root of 6838836480 is about 1898.1363517377.

The spelling of 6838836480 in words is "six billion, eight hundred thirty-eight million, eight hundred thirty-six thousand, four hundred eighty".