56643033600 has 720 divisors, whose sum is σ = 211869986328. Its totient is φ = 14438891520.

The previous prime is 56643033583. The next prime is 56643033607. The reversal of 56643033600 is 633034665.

It is a happy number.

56643033600 is a `hidden beast` number, since 5 + 6 + 6 + 43 + 0 + 3 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12865003776 + 43778029824 = 113424^2 + 209232^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (56643033607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413452732 + ... + 413452868.

Almost surely, 2^56643033600 is an apocalyptic number.

56643033600 is a gapful number since it is divisible by the number (50) 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 56643033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105934993164).

56643033600 is an abundant number, since it is smaller than the sum of its proper divisors (155226952728).

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

56643033600 is a wasteful number, since it uses less digits than its factorization.

56643033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 56643033600 in words is "fifty-six billion, six hundred forty-three million, thirty-three thousand, six hundred".