6900748800 has 720 divisors, whose sum is σ = 27208231776. Its totient is φ = 1523712000.

The previous prime is 6900748793. The next prime is 6900748859. The reversal of 6900748800 is 88470096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222604785 + ... + 222604815.

Almost surely, 2^6900748800 is an apocalyptic number.

6900748800 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 6900748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604115888).

6900748800 is an abundant number, since it is smaller than the sum of its proper divisors (20307482976).

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

6900748800 is a wasteful number, since it uses less digits than its factorization.

6900748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6900748800 is about 83070.7457532434. The cubic root of 6900748800 is about 1903.8471265816.

The spelling of 6900748800 in words is "six billion, nine hundred million, seven hundred forty-eight thousand, eight hundred".