4648119840 has 576 divisors, whose sum is σ = 19813248000. Its totient is φ = 966131712.

The previous prime is 4648119823. The next prime is 4648119877. The reversal of 4648119840 is 489118464.

4648119840 is a `hidden beast` number, since 46 + 481 + 1 + 98 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 10351936 + ... + 10352384.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^4648119840 is an apocalyptic number.

4648119840 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 4648119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4648119840 is an abundant number, since it is smaller than the sum of its proper divisors (15165128160).

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

4648119840 is a wasteful number, since it uses less digits than its factorization.

4648119840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4648119840 is about 68177.1210891161. The cubic root of 4648119840 is about 1668.8825445366.

The spelling of 4648119840 in words is "four billion, six hundred forty-eight million, one hundred nineteen thousand, eight hundred forty".