5661964800 has 600 divisors, whose sum is σ = 21611521536. Its totient is φ = 1463132160.

The previous prime is 5661964783. The next prime is 5661964807. The reversal of 5661964800 is 84691665.

5661964800 is a `hidden beast` number, since 566 + 1 + 9 + 6 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (5661964807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44582337 + ... + 44582463.

Almost surely, 2^5661964800 is an apocalyptic number.

5661964800 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 5661964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805760768).

5661964800 is an abundant number, since it is smaller than the sum of its proper divisors (15949556736).

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

5661964800 is a wasteful number, since it uses less digits than its factorization.

5661964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5661964800 is about 75246.0284666241. The cubic root of 5661964800 is about 1782.3338489568. Note that the first 3 decimals are identical.

The spelling of 5661964800 in words is "five billion, six hundred sixty-one million, nine hundred sixty-four thousand, eight hundred".