4478664960 has 1296 divisors, whose sum is σ = 21374091648. Its totient is φ = 875888640.

The previous prime is 4478664947. The next prime is 4478664979. The reversal of 4478664960 is 694668744.

4478664960 is a `hidden beast` number, since 447 + 86 + 64 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4478664897 and 4478664906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263450872 + ... + 263450888.

Almost surely, 2^4478664960 is an apocalyptic number.

4478664960 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 4478664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687045824).

4478664960 is an abundant number, since it is smaller than the sum of its proper divisors (16895426688).

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

4478664960 is a wasteful number, since it uses less digits than its factorization.

4478664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 4478664960 is about 66922.8283921115. The cubic root of 4478664960 is about 1648.3503512521.

It can be divided in two parts, 44786 and 64960, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 4478664960 in words is "four billion, four hundred seventy-eight million, six hundred sixty-four thousand, nine hundred sixty".