5767463520 has 768 divisors, whose sum is σ = 26336378880. Its totient is φ = 1143963648.

The previous prime is 5767463519. The next prime is 5767463557. The reversal of 5767463520 is 253647675.

5767463520 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 4 + 635 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682609 + ... + 6683471.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 2^5767463520 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 5767463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168189440).

5767463520 is an abundant number, since it is smaller than the sum of its proper divisors (20568915360).

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

5767463520 is a wasteful number, since it uses less digits than its factorization.

5767463520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 5767463520 is about 75943.8181816005. The cubic root of 5767463520 is about 1793.3358018174.

The spelling of 5767463520 in words is "five billion, seven hundred sixty-seven million, four hundred sixty-three thousand, five hundred twenty".