4809281664 has 128 divisors (see below), whose sum is σ = 13964762880. Its totient is φ = 1454351360.

The previous prime is 4809281651. The next prime is 4809281693. The reversal of 4809281664 is 4661829084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×4809281664³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884159 + ... + 2885825.

It is an arithmetic number, because the mean of its divisors is an integer number (109099710).

Almost surely, 2^4809281664 is an apocalyptic number.

4809281664 is a gapful number since it is divisible by the number (44) 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 4809281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982381440).

4809281664 is an abundant number, since it is smaller than the sum of its proper divisors (9155481216).

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

4809281664 is a wasteful number, since it uses less digits than its factorization.

4809281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4809281664 is about 69348.9845924221. The cubic root of 4809281664 is about 1687.9519164519.

The spelling of 4809281664 in words is "four billion, eight hundred nine million, two hundred eighty-one thousand, six hundred sixty-four".