4688249280 has 672 divisors, whose sum is σ = 18313164288. Its totient is φ = 1006387200.

The previous prime is 4688249261. The next prime is 4688249281. The reversal of 4688249280 is 829428864.

It is a super-2 number, since 2×4688249280² = 43959362622841036800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688249281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66031645 + ... + 66031715.

Almost surely, 2^4688249280 is an apocalyptic number.

4688249280 is a gapful number since it is divisible by the number (40) 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 4688249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156582144).

4688249280 is an abundant number, since it is smaller than the sum of its proper divisors (13624915008).

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

4688249280 is a wasteful number, since it uses less digits than its factorization.

4688249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 4688249280 is about 68470.7914369332. The cubic root of 4688249280 is about 1673.6715424938.

The spelling of 4688249280 in words is "four billion, six hundred eighty-eight million, two hundred forty-nine thousand, two hundred eighty".