6893144064 has 288 divisors, whose sum is σ = 21762468000. Its totient is φ = 2176782336.

The previous prime is 6893144059. The next prime is 6893144101. The reversal of 6893144064 is 4604413986.

6893144064 is a `hidden beast` number, since 68 + 93 + 1 + 440 + 64 = 666.

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362797047 + ... + 362797065.

It is an arithmetic number, because the mean of its divisors is an integer number (75564125).

Almost surely, 2^6893144064 is an apocalyptic number.

6893144064 is a gapful number since it is divisible by the number (64) 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 6893144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881234000).

6893144064 is an abundant number, since it is smaller than the sum of its proper divisors (14869323936).

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

6893144064 is an frugal number, since it uses more digits than its factorization.

6893144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6893144064 is about 83024.9604877955. The cubic root of 6893144064 is about 1903.1475128206.

The spelling of 6893144064 in words is "six billion, eight hundred ninety-three million, one hundred forty-four thousand, sixty-four".