4460647680 has 216 divisors, whose sum is σ = 16341939432. Its totient is φ = 1119485952.

The previous prime is 4460647627. The next prime is 4460647721. The reversal of 4460647680 is 867460644.

4460647680 is a `hidden beast` number, since 44 + 60 + 6 + 476 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1862095104 + 2598552576 = 43152^2 + 50976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184452 + ... + 207228.

It is an arithmetic number, because the mean of its divisors is an integer number (75657127).

Almost surely, 2^4460647680 is an apocalyptic number.

4460647680 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 4460647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170969716).

4460647680 is an abundant number, since it is smaller than the sum of its proper divisors (11881291752).

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

4460647680 is a wasteful number, since it uses less digits than its factorization.

4460647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22821 (or 22804 counting only the distinct ones).

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

The square root of 4460647680 is about 66788.0803736715. The cubic root of 4460647680 is about 1646.1369904592.

The spelling of 4460647680 in words is "four billion, four hundred sixty million, six hundred forty-seven thousand, six hundred eighty".