6837268838400 has 4608 divisors, whose sum is σ = 34696079308800. Its totient is φ = 1289945088000.

The previous prime is 6837268838399. The next prime is 6837268838401. The reversal of 6837268838400 is 48388627386.

6837268838400 is a `hidden beast` number, since 6 + 83 + 72 + 6 + 8 + 83 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (6837268838399) and next prime (6837268838401).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6837268838401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112086374370 + ... + 112086374430.

It is an arithmetic number, because the mean of its divisors is an integer number (7529531100).

Almost surely, 2^{6837268838400} is an apocalyptic number.

6837268838400 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 6837268838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348039654400).

6837268838400 is an abundant number, since it is smaller than the sum of its proper divisors (27858810470400).

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

6837268838400 is a wasteful number, since it uses less digits than its factorization.

6837268838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 6837268838400 in words is "six trillion, eight hundred thirty-seven billion, two hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred".