5763307438080 has 896 divisors, whose sum is σ = 21053990627640. Its totient is φ = 1513535569920.

The previous prime is 5763307438069. The next prime is 5763307438087. The reversal of 5763307438080 is 808347033675.

5763307438080 is a `hidden beast` number, since 576 + 3 + 30 + 7 + 4 + 38 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5345639940096 + 417667497984 = 2312064^2 + 646272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5763307438087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8719072950 + ... + 8719073610.

Almost surely, 2^{5763307438080} 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 5763307438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526995313820).

5763307438080 is an abundant number, since it is smaller than the sum of its proper divisors (15290683189560).

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

5763307438080 is an frugal number, since it uses more digits than its factorization.

5763307438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5763307438080 in words is "five trillion, seven hundred sixty-three billion, three hundred seven million, four hundred thirty-eight thousand, eighty".