4671483264 has 384 divisors, whose sum is σ = 16268428800. Its totient is φ = 1257873408.

The previous prime is 4671483263. The next prime is 4671483283. The reversal of 4671483264 is 4623841764.

4671483264 is a `hidden beast` number, since 46 + 71 + 483 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671483263) 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 47 ways as a sum of consecutive naturals, for example, 16506867 + ... + 16507149.

It is an arithmetic number, because the mean of its divisors is an integer number (42365700).

Almost surely, 2^4671483264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4671483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134214400).

4671483264 is an abundant number, since it is smaller than the sum of its proper divisors (11596945536).

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

4671483264 is a wasteful number, since it uses less digits than its factorization.

4671483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4671483264 is about 68348.2498971261. The cubic root of 4671483264 is about 1671.6740434314.

The spelling of 4671483264 in words is "four billion, six hundred seventy-one million, four hundred eighty-three thousand, two hundred sixty-four".