4875399760 has 320 divisors, whose sum is σ = 14778482688. Its totient is φ = 1463616000.

The previous prime is 4875399743. The next prime is 4875399761. The reversal of 4875399760 is 679935784.

It is a junction number, because it is equal to n+sod(n) for n = 4875399695 and 4875399704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875399761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23106055 + ... + 23106265.

Almost surely, 2^4875399760 is an apocalyptic number.

4875399760 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 4875399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389241344).

4875399760 is an abundant number, since it is smaller than the sum of its proper divisors (9903082928).

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

4875399760 is a wasteful number, since it uses less digits than its factorization.

4875399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The square root of 4875399760 is about 69824.0629009799. The cubic root of 4875399760 is about 1695.6520679560.

The spelling of 4875399760 in words is "four billion, eight hundred seventy-five million, three hundred ninety-nine thousand, seven hundred sixty".