4835381760 has 240 divisors, whose sum is σ = 18269634240. Its totient is φ = 1172152320.

The previous prime is 4835381753. The next prime is 4835381783. The reversal of 4835381760 is 671835384.

4835381760 is a `hidden beast` number, since 48 + 3 + 538 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243901 + ... + 262979.

It is an arithmetic number, because the mean of its divisors is an integer number (76123476).

Almost surely, 2^4835381760 is an apocalyptic number.

4835381760 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 4835381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134817120).

4835381760 is an abundant number, since it is smaller than the sum of its proper divisors (13434252480).

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

4835381760 is a wasteful number, since it uses less digits than its factorization.

4835381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19119 (or 19100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4835381760 is about 69536.9093359778. The cubic root of 4835381760 is about 1690.9999287750. Note that the first 4 decimals are identical.

The spelling of 4835381760 in words is "four billion, eight hundred thirty-five million, three hundred eighty-one thousand, seven hundred sixty".