6772411800000 has 2016 divisors, whose sum is σ = 30563006842368. Its totient is φ = 1392768000000.

The previous prime is 6772411799987. The next prime is 6772411800031. The reversal of 6772411800000 is 81142776.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18156599814 + ... + 18156600186.

It is an arithmetic number, because the mean of its divisors is an integer number (15160221648).

Almost surely, 2^{6772411800000} is an apocalyptic number.

6772411800000 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 6772411800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281503421184).

6772411800000 is an abundant number, since it is smaller than the sum of its proper divisors (23790595042368).

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

6772411800000 is a wasteful number, since it uses less digits than its factorization.

6772411800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 6772411800000 its reverse (81142776), we get a palindrome (6772492942776).

The spelling of 6772411800000 in words is "six trillion, seven hundred seventy-two billion, four hundred eleven million, eight hundred thousand".