4800660480 has 1056 divisors, whose sum is σ = 21954320640. Its totient is φ = 973209600.

The previous prime is 4800660461. The next prime is 4800660503. The reversal of 4800660480 is 840660084.

4800660480 is a `hidden beast` number, since 48 + 0 + 0 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117089260 + ... + 117089300.

Almost surely, 2^4800660480 is an apocalyptic number.

4800660480 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 4800660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977160320).

4800660480 is an abundant number, since it is smaller than the sum of its proper divisors (17153660160).

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

4800660480 is a wasteful number, since it uses less digits than its factorization.

4800660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4800660480 is about 69286.7987426176. The cubic root of 4800660480 is about 1686.9426979449.

The spelling of 4800660480 in words is "four billion, eight hundred million, six hundred sixty thousand, four hundred eighty".