5578346272 has 144 divisors (see below), whose sum is σ = 12267407880. Its totient is φ = 2487812096.

The previous prime is 5578346261. The next prime is 5578346273. The reversal of 5578346272 is 2726438755.

It can be written as a sum of positive squares in 12 ways, for example, as 1024256016 + 4554090256 = 32004^2 + 67484^2 .

It is a super-2 number, since 2×5578346272² = 62235894260672595968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5578346273) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40717788 + ... + 40717924.

Almost surely, 2^5578346272 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 5578346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133703940).

5578346272 is an abundant number, since it is smaller than the sum of its proper divisors (6689061608).

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

5578346272 is a wasteful number, since it uses less digits than its factorization.

5578346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 49.

The square root of 5578346272 is about 74688.3275485534. The cubic root of 5578346272 is about 1773.5161860683.

The spelling of 5578346272 in words is "five billion, five hundred seventy-eight million, three hundred forty-six thousand, two hundred seventy-two".