5658968448 has 576 divisors, whose sum is σ = 20316441600. Its totient is φ = 1562416128.

The previous prime is 5658968411. The next prime is 5658968459. The reversal of 5658968448 is 8448698565.

5658968448 is a `hidden beast` number, since 5 + 6 + 589 + 6 + 8 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71632473 + ... + 71632551.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 2^5658968448 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 5658968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

5658968448 is an abundant number, since it is smaller than the sum of its proper divisors (14657473152).

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

5658968448 is an equidigital number, since it uses as much as digits as its factorization.

5658968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The square root of 5658968448 is about 75226.1154653090. The cubic root of 5658968448 is about 1782.0193855661.

The spelling of 5658968448 in words is "five billion, six hundred fifty-eight million, nine hundred sixty-eight thousand, four hundred forty-eight".