6810849978000 has 640 divisors, whose sum is σ = 24039621365760. Its totient is φ = 1651507200000.

The previous prime is 6810849977989. The next prime is 6810849978011. The reversal of 6810849978000 is 8799480186.

It is an interprime number because it is at equal distance from previous prime (6810849977989) and next prime (6810849978011).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2431576600 + ... + 2431579400.

It is an arithmetic number, because the mean of its divisors is an integer number (37561908384).

Almost surely, 2^{6810849978000} is an apocalyptic number.

6810849978000 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 6810849978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019810682880).

6810849978000 is an abundant number, since it is smaller than the sum of its proper divisors (17228771387760).

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

6810849978000 is a wasteful number, since it uses less digits than its factorization.

6810849978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 6810849978000 in words is "six trillion, eight hundred ten billion, eight hundred forty-nine million, nine hundred seventy-eight thousand".