5765621760 has 288 divisors, whose sum is σ = 20279979720. Its totient is φ = 1514668032.

The previous prime is 5765621759. The next prime is 5765621767. The reversal of 5765621760 is 671265675.

5765621760 is a `hidden beast` number, since 5 + 76 + 562 + 17 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5592646656 + 172975104 = 74784^2 + 13152^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5765621767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6727252 + ... + 6728108.

Almost surely, 2^5765621760 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 5765621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139989860).

5765621760 is an abundant number, since it is smaller than the sum of its proper divisors (14514357960).

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

5765621760 is a wasteful number, since it uses less digits than its factorization.

5765621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5765621760 is about 75931.6914074749. The cubic root of 5765621760 is about 1793.1448891354.

The spelling of 5765621760 in words is "five billion, seven hundred sixty-five million, six hundred twenty-one thousand, seven hundred sixty".