5763511840 has 96 divisors (see below), whose sum is σ = 13837703040. Its totient is φ = 2268186624.

The previous prime is 5763511811. The next prime is 5763511951. The reversal of 5763511840 is 481153675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5763511793 and 5763511802.

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 15 ways as a sum of consecutive naturals, for example, 3231589 + ... + 3233371.

It is an arithmetic number, because the mean of its divisors is an integer number (144142740).

Almost surely, 2^5763511840 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 5763511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918851520).

5763511840 is an abundant number, since it is smaller than the sum of its proper divisors (8074191200).

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

5763511840 is a wasteful number, since it uses less digits than its factorization.

5763511840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 5763511840 is about 75917.7965960551. The cubic root of 5763511840 is about 1792.9261296200.

The spelling of 5763511840 in words is "five billion, seven hundred sixty-three million, five hundred eleven thousand, eight hundred forty".