5763940560 has 420 divisors, whose sum is σ = 23384555748. Its totient is φ = 1316818944.

The previous prime is 5763940519. The next prime is 5763940571. The reversal of 5763940560 is 650493675.

5763940560 is a `hidden beast` number, since 5 + 7 + 639 + 4 + 0 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3566956176 + 2196984384 = 59724^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×5763940560² = 66446021558426227200, which contains 22 as substring.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2856672 + ... + 2858688.

It is a vampire number, since it can be written as 63504 ⋅ 90765 (with its own digits).

Almost surely, 2^5763940560 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 5763940560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692277874).

5763940560 is an abundant number, since it is smaller than the sum of its proper divisors (17620615188).

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

5763940560 is a wasteful number, since it uses less digits than its factorization.

5763940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5763940560 is about 75920.6201239163. The cubic root of 5763940560 is about 1792.9705842426.

The spelling of 5763940560 in words is "five billion, seven hundred sixty-three million, nine hundred forty thousand, five hundred sixty".