4862417760 has 144 divisors (see below), whose sum is σ = 16618361760. Its totient is φ = 1294663680.

The previous prime is 4862417731. The next prime is 4862417761. The reversal of 4862417760 is 677142684.

4862417760 is a `hidden beast` number, since 4 + 8 + 624 + 17 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4862417761) 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, 1105165 + ... + 1109555.

It is an arithmetic number, because the mean of its divisors is an integer number (115405290).

Almost surely, 2^4862417760 is an apocalyptic number.

4862417760 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 4862417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309180880).

4862417760 is an abundant number, since it is smaller than the sum of its proper divisors (11755944000).

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

4862417760 is a wasteful number, since it uses less digits than its factorization.

4862417760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4862417760 is about 69731.0387130437. The cubic root of 4862417760 is about 1694.1456942184.

The spelling of 4862417760 in words is "four billion, eight hundred sixty-two million, four hundred seventeen thousand, seven hundred sixty".