5663778120 has 1024 divisors, whose sum is σ = 26320896000. Its totient is φ = 1051315200.

The previous prime is 5663778059. The next prime is 5663778137. The reversal of 5663778120 is 218773665.

5663778120 is a `hidden beast` number, since 5 + 6 + 637 + 7 + 8 + 1 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182702505 + ... + 182702535.

It is an arithmetic number, because the mean of its divisors is an integer number (25704000).

Almost surely, 2^5663778120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5663778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448000).

5663778120 is an abundant number, since it is smaller than the sum of its proper divisors (20657117880).

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

5663778120 is a wasteful number, since it uses less digits than its factorization.

5663778120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5663778120 is about 75258.0767758518. The cubic root of 5663778120 is about 1782.5241007372.

The spelling of 5663778120 in words is "five billion, six hundred sixty-three million, seven hundred seventy-eight thousand, one hundred twenty".