4890617760 has 384 divisors, whose sum is σ = 18240380928. Its totient is φ = 1078272000.

The previous prime is 4890617731. The next prime is 4890617761. The reversal of 4890617760 is 677160984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4890617761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18046425 + ... + 18046695.

It is an arithmetic number, because the mean of its divisors is an integer number (47500992).

Almost surely, 2^4890617760 is an apocalyptic number.

4890617760 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 4890617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120190464).

4890617760 is an abundant number, since it is smaller than the sum of its proper divisors (13349763168).

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

4890617760 is a wasteful number, since it uses less digits than its factorization.

4890617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 4890617760 is about 69932.9518896493. The cubic root of 4890617760 is about 1697.4144965005.

It can be divided in two parts, 48906 and 17760, that added together give a palindrome (66666).

The spelling of 4890617760 in words is "four billion, eight hundred ninety million, six hundred seventeen thousand, seven hundred sixty".