5767448960 has 512 divisors, whose sum is σ = 18095616000. Its totient is φ = 1744920576.

The previous prime is 5767448959. The next prime is 5767448987. The reversal of 5767448960 is 698447675.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5767448896 and 5767448905.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 122711657 + ... + 122711703.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 2^5767448960 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 5767448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047808000).

5767448960 is an abundant number, since it is smaller than the sum of its proper divisors (12328167040).

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

5767448960 is a wasteful number, since it uses less digits than its factorization.

5767448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The square root of 5767448960 is about 75943.7223212031. The cubic root of 5767448960 is about 1793.3342927201.

The spelling of 5767448960 in words is "five billion, seven hundred sixty-seven million, four hundred forty-eight thousand, nine hundred sixty".