5777412480 has 896 divisors, whose sum is σ = 24883675200. Its totient is φ = 1254113280.

The previous prime is 5777412467. The next prime is 5777412491. The reversal of 5777412480 is 842147775.

5777412480 is a `hidden beast` number, since 577 + 74 + 1 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 94711650 + ... + 94711710.

Almost surely, 2^5777412480 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 5777412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441837600).

5777412480 is an abundant number, since it is smaller than the sum of its proper divisors (19106262720).

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

5777412480 is an equidigital number, since it uses as much as digits as its factorization.

5777412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 5777412480 is about 76009.2920635365. The cubic root of 5777412480 is about 1794.3663863935.

The spelling of 5777412480 in words is "five billion, seven hundred seventy-seven million, four hundred twelve thousand, four hundred eighty".