5779088640 has 576 divisors, whose sum is σ = 23281977600. Its totient is φ = 1345683456.

The previous prime is 5779088639. The next prime is 5779088657. The reversal of 5779088640 is 468809775.

5779088640 is a `hidden beast` number, since 577 + 9 + 0 + 8 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8535982 + ... + 8536658.

It is an arithmetic number, because the mean of its divisors is an integer number (40420100).

Almost surely, 2^5779088640 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 5779088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640988800).

5779088640 is an abundant number, since it is smaller than the sum of its proper divisors (17502888960).

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

5779088640 is a wasteful number, since it uses less digits than its factorization.

5779088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5779088640 is about 76020.3172842629. The cubic root of 5779088640 is about 1794.5398985761.

The spelling of 5779088640 in words is "five billion, seven hundred seventy-nine million, eighty-eight thousand, six hundred forty".