5774577984 has 336 divisors, whose sum is σ = 20032626432. Its totient is φ = 1554702336.

The previous prime is 5774577959. The next prime is 5774577989. The reversal of 5774577984 is 4897754775.

5774577984 is a `hidden beast` number, since 57 + 7 + 4 + 577 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (5774577989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6769302 + ... + 6770154.

It is an arithmetic number, because the mean of its divisors is an integer number (59620912).

Almost surely, 2^5774577984 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 5774577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016313216).

5774577984 is an abundant number, since it is smaller than the sum of its proper divisors (14258048448).

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

5774577984 is a wasteful number, since it uses less digits than its factorization.

5774577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 961 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 63.

The square root of 5774577984 is about 75990.6440556994. The cubic root of 5774577984 is about 1794.0728895863.

The spelling of 5774577984 in words is "five billion, seven hundred seventy-four million, five hundred seventy-seven thousand, nine hundred eighty-four".