4466795760 has 640 divisors, whose sum is σ = 18598809600. Its totient is φ = 963809280.

The previous prime is 4466795743. The next prime is 4466795761. The reversal of 4466795760 is 675976644.

4466795760 is a `hidden beast` number, since 4 + 4 + 6 + 67 + 9 + 576 + 0 = 666.

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 = 4466795697 and 4466795706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466795761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26747197 + ... + 26747363.

It is an arithmetic number, because the mean of its divisors is an integer number (29060640).

Almost surely, 2^4466795760 is an apocalyptic number.

4466795760 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 4466795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299404800).

4466795760 is an abundant number, since it is smaller than the sum of its proper divisors (14132013840).

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

4466795760 is a wasteful number, since it uses less digits than its factorization.

4466795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 4466795760 is about 66834.0913007725. The cubic root of 4466795760 is about 1646.8929296921.

The spelling of 4466795760 in words is "four billion, four hundred sixty-six million, seven hundred ninety-five thousand, seven hundred sixty".