6894796800 has 360 divisors, whose sum is σ = 23663540992. Its totient is φ = 1769472000.

The previous prime is 6894796793. The next prime is 6894796801. The reversal of 6894796800 is 86974986.

It is not an unprimeable number, because it can be changed into a prime (6894796801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38092710 + ... + 38092890.

Almost surely, 2^6894796800 is an apocalyptic number.

6894796800 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 6894796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831770496).

6894796800 is an abundant number, since it is smaller than the sum of its proper divisors (16768744192).

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

6894796800 is a wasteful number, since it uses less digits than its factorization.

6894796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 6894796800 is about 83034.9131389923. The cubic root of 6894796800 is about 1903.2996035079.

The spelling of 6894796800 in words is "six billion, eight hundred ninety-four million, seven hundred ninety-six thousand, eight hundred".