6837806868480 has 3072 divisors, whose sum is σ = 31170201753600. Its totient is φ = 1386133585920.

The previous prime is 6837806868467. The next prime is 6837806868493. The reversal of 6837806868480 is 848686087386.

6837806868480 is a `hidden beast` number, since 6 + 8 + 3 + 7 + 80 + 6 + 8 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6837806868467) and next prime (6837806868493).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6837806868399 and 6837806868408.

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 255 ways as a sum of consecutive naturals, for example, 49910998972 + ... + 49910999108.

It is an arithmetic number, because the mean of its divisors is an integer number (10146550050).

Almost surely, 2^{6837806868480} is an apocalyptic number.

6837806868480 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 6837806868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585100876800).

6837806868480 is an abundant number, since it is smaller than the sum of its proper divisors (24332394885120).

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

6837806868480 is a wasteful number, since it uses less digits than its factorization.

6837806868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 6837806868480 in words is "six trillion, eight hundred thirty-seven billion, eight hundred six million, eight hundred sixty-eight thousand, four hundred eighty".