4864241760 has 144 divisors (see below), whose sum is σ = 17824057776. Its totient is φ = 1111821312.

The previous prime is 4864241747. The next prime is 4864241761. The reversal of 4864241760 is 671424684.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864241761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79887 + ... + 126926.

It is an arithmetic number, because the mean of its divisors is an integer number (123778179).

Almost surely, 2^4864241760 is an apocalyptic number.

4864241760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4864241760 is an abundant number, since it is smaller than the sum of its proper divisors (12959816016).

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

4864241760 is a wasteful number, since it uses less digits than its factorization.

4864241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206845 (or 206830 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4864241760 is about 69744.1163109835. The cubic root of 4864241760 is about 1694.3575048572.

The spelling of 4864241760 in words is "four billion, eight hundred sixty-four million, two hundred forty-one thousand, seven hundred sixty".