6803286714000 has 600 divisors, whose sum is σ = 28586086554168. Its totient is φ = 1555035148800.

The previous prime is 6803286713987. The next prime is 6803286714043. The reversal of 6803286714000 is 4176823086.

It can be written as a sum of positive squares in 4 ways, for example, as 2083565223936 + 4719721490064 = 1443456^2 + 2172492^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×6803286714000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7509474 + ... + 8366526.

Almost surely, 2^{6803286714000} is an apocalyptic number.

6803286714000 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 6803286714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293043277084).

6803286714000 is an abundant number, since it is smaller than the sum of its proper divisors (21782799840168).

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

6803286714000 is a wasteful number, since it uses less digits than its factorization.

6803286714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857102 (or 857070 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6803286714000 in words is "six trillion, eight hundred three billion, two hundred eighty-six million, seven hundred fourteen thousand".