6738842880 has 864 divisors, whose sum is σ = 29753837568. Its totient is φ = 1367654400.

The previous prime is 6738842863. The next prime is 6738842881. The reversal of 6738842880 is 882488376.

6738842880 is a `hidden beast` number, since 67 + 3 + 88 + 428 + 80 = 666.

It is a super-2 number, since 2×6738842880² = 90824006722653388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738842881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62979787 + ... + 62979893.

It is an arithmetic number, because the mean of its divisors is an integer number (34437312).

Almost surely, 2^6738842880 is an apocalyptic number.

6738842880 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 6738842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876918784).

6738842880 is an abundant number, since it is smaller than the sum of its proper divisors (23014994688).

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

6738842880 is a wasteful number, since it uses less digits than its factorization.

6738842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 6738842880 is about 82090.4554744338. The cubic root of 6738842880 is about 1888.8397346583.

The spelling of 6738842880 in words is "six billion, seven hundred thirty-eight million, eight hundred forty-two thousand, eight hundred eighty".