6900940800000 has 1320 divisors, whose sum is σ = 27752713095492. Its totient is φ = 1698693120000.

The previous prime is 6900940799983. The next prime is 6900940800097. The reversal of 6900940800000 is 80490096.

It can be written as a sum of positive squares in 6 ways, for example, as 1885634297856 + 5015306502144 = 1373184^2 + 2239488^2 .

It is a super-3 number, since 3×6900940800000³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 530841599994 + ... + 530841600006.

Almost surely, 2^{6900940800000} is an apocalyptic number.

6900940800000 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 6900940800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876356547746).

6900940800000 is an abundant number, since it is smaller than the sum of its proper divisors (20851772295492).

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

6900940800000 is an frugal number, since it uses more digits than its factorization.

6900940800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 6900940800000 in words is "six trillion, nine hundred billion, nine hundred forty million, eight hundred thousand".