5716977408 has 216 divisors, whose sum is σ = 17688980400. Its totient is φ = 1839366144.

The previous prime is 5716977391. The next prime is 5716977421. The reversal of 5716977408 is 8047796175.

5716977408 is a `hidden beast` number, since 5 + 7 + 169 + 77 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802448 + ... + 1805616.

Almost surely, 2^5716977408 is an apocalyptic number.

5716977408 is a gapful number since it is divisible by the number (58) 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 5716977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844490200).

5716977408 is an abundant number, since it is smaller than the sum of its proper divisors (11972002992).

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

5716977408 is an equidigital number, since it uses as much as digits as its factorization.

5716977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 5716977408 is about 75610.6963861595. The cubic root of 5716977408 is about 1788.0877394898.

The spelling of 5716977408 in words is "five billion, seven hundred sixteen million, nine hundred seventy-seven thousand, four hundred eight".