4860913680 has 480 divisors, whose sum is σ = 19769568000. Its totient is φ = 1111065984.

The previous prime is 4860913667. The next prime is 4860913693. The reversal of 4860913680 is 863190684.

4860913680 is a `hidden beast` number, since 4 + 8 + 609 + 1 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4860913667) and next prime (4860913693).

It is a super-2 number, since 2×4860913680² = 47256963608822284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694416237 + ... + 694416243.

It is an arithmetic number, because the mean of its divisors is an integer number (41186600).

Almost surely, 2^4860913680 is an apocalyptic number.

4860913680 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 4860913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884784000).

4860913680 is an abundant number, since it is smaller than the sum of its proper divisors (14908654320).

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

4860913680 is an frugal number, since it uses more digits than its factorization.

4860913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4860913680 is about 69720.2530115891. The cubic root of 4860913680 is about 1693.9709941986.

The spelling of 4860913680 in words is "four billion, eight hundred sixty million, nine hundred thirteen thousand, six hundred eighty".