6900940800 has 570 divisors, whose sum is σ = 27532407518. Its totient is φ = 1698693120.

The previous prime is 6900940777. The next prime is 6900940817. The reversal of 6900940800 is 80490096.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 6879707136 = 4608^2 + 82944^2 .

It is a super-3 number, since 3×6900940800³ (a number of 30 digits) contains 333 as substring.

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 29 ways as a sum of consecutive naturals, for example, 530841594 + ... + 530841606.

Almost surely, 2^6900940800 is an apocalyptic number.

6900940800 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 6900940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766203759).

6900940800 is an abundant number, since it is smaller than the sum of its proper divisors (20631466718).

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

6900940800 is an frugal number, since it uses more digits than its factorization.

6900940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

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

The square root of 6900940800 is about 83071.9013866903. The cubic root of 6900940800 is about 1903.8647833735.

The spelling of 6900940800 in words is "six billion, nine hundred million, nine hundred forty thousand, eight hundred".