6856437772800 has 1440 divisors, whose sum is σ = 30718723875840. Its totient is φ = 1418814259200.

The previous prime is 6856437772799. The next prime is 6856437772801. The reversal of 6856437772800 is 82777346586.

6856437772800 is a `hidden beast` number, since 6 + 8 + 56 + 437 + 7 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6856437772799) and next prime (6856437772801).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (6856437772801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2332913731 + ... + 2332916669.

It is an arithmetic number, because the mean of its divisors is an integer number (21332447136).

Almost surely, 2^{6856437772800} is an apocalyptic number.

6856437772800 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 6856437772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359361937920).

6856437772800 is an abundant number, since it is smaller than the sum of its proper divisors (23862286103040).

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

6856437772800 is a wasteful number, since it uses less digits than its factorization.

6856437772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 6856437772800 in words is "six trillion, eight hundred fifty-six billion, four hundred thirty-seven million, seven hundred seventy-two thousand, eight hundred".