5777430624 has 240 divisors, whose sum is σ = 20441836800. Its totient is φ = 1563722496.

The previous prime is 5777430613. The next prime is 5777430641. The reversal of 5777430624 is 4260347775.

5777430624 is a `hidden beast` number, since 577 + 74 + 3 + 0 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5777430624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336357 + ... + 353115.

It is an arithmetic number, because the mean of its divisors is an integer number (85174320).

Almost surely, 2^5777430624 is an apocalyptic number.

5777430624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220918400).

5777430624 is an abundant number, since it is smaller than the sum of its proper divisors (14664406176).

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

5777430624 is a wasteful number, since it uses less digits than its factorization.

5777430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16807 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 5777430624 is about 76009.4114172712. The cubic root of 5777430624 is about 1794.3682647979.

The spelling of 5777430624 in words is "five billion, seven hundred seventy-seven million, four hundred thirty thousand, six hundred twenty-four".