6536894400 has 1008 divisors, whose sum is σ = 27239756544. Its totient is φ = 1532805120.

The previous prime is 6536894389. The next prime is 6536894401. The reversal of 6536894400 is 44986356.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536894401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152020779 + ... + 152020821.

It is an arithmetic number, because the mean of its divisors is an integer number (27023568).

Almost surely, 2^6536894400 is an apocalyptic number.

6536894400 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 6536894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619878272).

6536894400 is an abundant number, since it is smaller than the sum of its proper divisors (20702862144).

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

6536894400 is a wasteful number, since it uses less digits than its factorization.

6536894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6536894400 is about 80851.0630727884. The cubic root of 6536894400 is about 1869.7799125197.

The spelling of 6536894400 in words is "six billion, five hundred thirty-six million, eight hundred ninety-four thousand, four hundred".