4890989760 has 280 divisors, whose sum is σ = 16769919216. Its totient is φ = 1207418880.

The previous prime is 4890989737. The next prime is 4890989771. The reversal of 4890989760 is 679890984.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4890989694 and 4890989703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80180130 + ... + 80180190.

Almost surely, 2^4890989760 is an apocalyptic number.

4890989760 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 4890989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384959608).

4890989760 is an abundant number, since it is smaller than the sum of its proper divisors (11878929456).

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

4890989760 is an frugal number, since it uses more digits than its factorization.

4890989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 4890989760 is about 69935.6115294633. The cubic root of 4890989760 is about 1697.4575327939.

The spelling of 4890989760 in words is "four billion, eight hundred ninety million, nine hundred eighty-nine thousand, seven hundred sixty".