4880003760 has 240 divisors, whose sum is σ = 17066553504. Its totient is φ = 1295917056.

The previous prime is 4880003729. The next prime is 4880003761. The reversal of 4880003760 is 673000884.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4880003760² = 47628873395228275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4880003761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7250784 + ... + 7251456.

Almost surely, 2^4880003760 is an apocalyptic number.

4880003760 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 4880003760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533276752).

4880003760 is an abundant number, since it is smaller than the sum of its proper divisors (12186549744).

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

4880003760 is a wasteful number, since it uses less digits than its factorization.

4880003760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4880003760 is about 69857.0236984085. The cubic root of 4880003760 is about 1696.1856533298.

The spelling of 4880003760 in words is "four billion, eight hundred eighty million, three thousand, seven hundred sixty".