4897877760 has 288 divisors, whose sum is σ = 18297888000. Its totient is φ = 1237192704.

The previous prime is 4897877731. The next prime is 4897877833. The reversal of 4897877760 is 677787984.

4897877760 is a `hidden beast` number, since 489 + 7 + 87 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 652911 + ... + 660369.

Almost surely, 2^4897877760 is an apocalyptic number.

4897877760 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 4897877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148944000).

4897877760 is an abundant number, since it is smaller than the sum of its proper divisors (13400010240).

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

4897877760 is a wasteful number, since it uses less digits than its factorization.

4897877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The square root of 4897877760 is about 69984.8395011377. The cubic root of 4897877760 is about 1698.2540043794.

The spelling of 4897877760 in words is "four billion, eight hundred ninety-seven million, eight hundred seventy-seven thousand, seven hundred sixty".