5776010240 has 704 divisors, whose sum is σ = 19808409600. Its totient is φ = 1589575680.

The previous prime is 5776010213. The next prime is 5776010249. The reversal of 5776010240 is 420106775.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5776010197 and 5776010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5776010249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251130869 + ... + 251130891.

Almost surely, 2^5776010240 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 5776010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904204800).

5776010240 is an abundant number, since it is smaller than the sum of its proper divisors (14032399360).

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

5776010240 is a wasteful number, since it uses less digits than its factorization.

5776010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 5776010240 is about 76000.0673683912. The cubic root of 5776010240 is about 1794.2212039887.

It can be divided in two parts, 57760 and 10240, that multiplied together give a square (591462400 = 24320²).

The spelling of 5776010240 in words is "five billion, seven hundred seventy-six million, ten thousand, two hundred forty".