5769790266240 has 2304 divisors, whose sum is σ = 27701468121600. Its totient is φ = 1087486525440.

The previous prime is 5769790266203. The next prime is 5769790266241. The reversal of 5769790266240 is 426620979675.

5769790266240 is a `hidden beast` number, since 5 + 7 + 69 + 79 + 0 + 266 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769790266241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2381257669 + ... + 2381260091.

It is an arithmetic number, because the mean of its divisors is an integer number (12023206650).

Almost surely, 2^{5769790266240} 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 5769790266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850734060800).

5769790266240 is an abundant number, since it is smaller than the sum of its proper divisors (21931677855360).

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

5769790266240 is a wasteful number, since it uses less digits than its factorization.

5769790266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 5769790266240 in words is "five trillion, seven hundred sixty-nine billion, seven hundred ninety million, two hundred sixty-six thousand, two hundred forty".