5777972460 has 384 divisors, whose sum is σ = 20018718720. Its totient is φ = 1374796800.

The previous prime is 5777972449. The next prime is 5777972507. The reversal of 5777972460 is 642797775.

5777972460 is a `hidden beast` number, since 577 + 7 + 9 + 7 + 2 + 4 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5777972397 and 5777972406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44106595 + ... + 44106725.

It is an arithmetic number, because the mean of its divisors is an integer number (52132080).

Almost surely, 2^5777972460 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 5777972460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009359360).

5777972460 is an abundant number, since it is smaller than the sum of its proper divisors (14240746260).

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

5777972460 is a wasteful number, since it uses less digits than its factorization.

5777972460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The square root of 5777972460 is about 76012.9756028535. The cubic root of 5777972460 is about 1794.4243579526.

The spelling of 5777972460 in words is "five billion, seven hundred seventy-seven million, nine hundred seventy-two thousand, four hundred sixty".