4460642640 has 60 divisors (see below), whose sum is σ = 14980327284. Its totient is φ = 1189504512.

The previous prime is 4460642621. The next prime is 4460642647. The reversal of 4460642640 is 462460644.

It is a happy number.

4460642640 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 6 + 4 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2245622544 + 2215020096 = 47388^2 + 47064^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4460642595 and 4460642604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460642647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3096949 + ... + 3098388.

Almost surely, 2^4460642640 is an apocalyptic number.

4460642640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4460642640 is an abundant number, since it is smaller than the sum of its proper divisors (10519684644).

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

4460642640 is a wasteful number, since it uses less digits than its factorization.

4460642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195356 (or 6195347 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4460642640 is about 66788.0426423772. The cubic root of 4460642640 is about 1646.1363704795.

The spelling of 4460642640 in words is "four billion, four hundred sixty million, six hundred forty-two thousand, six hundred forty".