6780983040000 has 2520 divisors, whose sum is σ = 28146789691020. Its totient is φ = 1630347264000.

The previous prime is 6780983039993. The next prime is 6780983040011. The reversal of 6780983040000 is 403890876.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 157697279979 + ... + 157697280021.

Almost surely, 2^{6780983040000} is an apocalyptic number.

6780983040000 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 6780983040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073394845510).

6780983040000 is an abundant number, since it is smaller than the sum of its proper divisors (21365806651020).

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

6780983040000 is an frugal number, since it uses more digits than its factorization.

6780983040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6780983040000 in words is "six trillion, seven hundred eighty billion, nine hundred eighty-three million, forty thousand".