4077243648 has 144 divisors (see below), whose sum is σ = 12127460800. Its totient is φ = 1351157760.

The previous prime is 4077243631. The next prime is 4077243673. The reversal of 4077243648 is 8463427704.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4077243648³ (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1249443 + ... + 1252701.

Almost surely, 2^4077243648 is an apocalyptic number.

4077243648 is a gapful number since it is divisible by the number (48) 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 4077243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063730400).

4077243648 is an abundant number, since it is smaller than the sum of its proper divisors (8050217152).

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

4077243648 is a wasteful number, since it uses less digits than its factorization.

4077243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 4077243648 is about 63853.2978631488. The cubic root of 4077243648 is about 1597.5540293393.

The spelling of 4077243648 in words is "four billion, seventy-seven million, two hundred forty-three thousand, six hundred forty-eight".