6696144000 has 1152 divisors, whose sum is σ = 30538151280. Its totient is φ = 1393459200.

The previous prime is 6696143963. The next prime is 6696144001. The reversal of 6696144000 is 4416966.

It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 6693857856 = 1512^2 + 81816^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6696144001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91727964 + ... + 91728036.

Almost surely, 2^6696144000 is an apocalyptic number.

6696144000 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 6696144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269075640).

6696144000 is an abundant number, since it is smaller than the sum of its proper divisors (23842007280).

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

6696144000 is a wasteful number, since it uses less digits than its factorization.

6696144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6696144000 is about 81829.9700598748. The cubic root of 6696144000 is about 1884.8419026526.

The spelling of 6696144000 in words is "six billion, six hundred ninety-six million, one hundred forty-four thousand".