5474757456 has 240 divisors, whose sum is σ = 17989920000. Its totient is φ = 1553561856.

The previous prime is 5474757403. The next prime is 5474757461. The reversal of 5474757456 is 6547574745.

5474757456 is a `hidden beast` number, since 54 + 7 + 475 + 74 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9828730 + ... + 9829286.

It is an arithmetic number, because the mean of its divisors is an integer number (74958000).

Almost surely, 2^5474757456 is an apocalyptic number.

5474757456 is a gapful number since it is divisible by the number (56) 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 5474757456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960000).

5474757456 is an abundant number, since it is smaller than the sum of its proper divisors (12515162544).

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

5474757456 is a wasteful number, since it uses less digits than its factorization.

5474757456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 768 counting only the distinct ones).

The product of its digits is 16464000, while the sum is 54.

The square root of 5474757456 is about 73991.6039561246. The cubic root of 5474757456 is about 1762.4695720716.

It can be divided in two parts, 547475 and 7456, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 5474757456 in words is "five billion, four hundred seventy-four million, seven hundred fifty-seven thousand, four hundred fifty-six".