6743894400 has 288 divisors, whose sum is σ = 25112477520. Its totient is φ = 1720012800.

The previous prime is 6743894363. The next prime is 6743894453. The reversal of 6743894400 is 44983476.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6743894400² = 90960223356702720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657310 + ... + 667490.

Almost surely, 2^6743894400 is an apocalyptic number.

6743894400 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 6743894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556238760).

6743894400 is an abundant number, since it is smaller than the sum of its proper divisors (18368583120).

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

6743894400 is a wasteful number, since it uses less digits than its factorization.

6743894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6743894400 is about 82121.2177211225. The cubic root of 6743894400 is about 1889.3115826553.

The spelling of 6743894400 in words is "six billion, seven hundred forty-three million, eight hundred ninety-four thousand, four hundred".