5416747776 has 288 divisors, whose sum is σ = 17613066240. Its totient is φ = 1628467200.

The previous prime is 5416747747. The next prime is 5416747783. The reversal of 5416747776 is 6777476145.

It is a happy number.

5416747776 is a `hidden beast` number, since 5 + 4 + 167 + 477 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 31 ways as a sum of consecutive naturals, for example, 14521926 + ... + 14522298.

It is an arithmetic number, because the mean of its divisors is an integer number (61156480).

Almost surely, 2^5416747776 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 5416747776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806533120).

5416747776 is an abundant number, since it is smaller than the sum of its proper divisors (12196318464).

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

5416747776 is a wasteful number, since it uses less digits than its factorization.

5416747776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 5416747776 is about 73598.5582467483. The cubic root of 5416747776 is about 1756.2225042052. Note that the first 3 decimals are identical.

The spelling of 5416747776 in words is "five billion, four hundred sixteen million, seven hundred forty-seven thousand, seven hundred seventy-six".