4645630440 has 144 divisors (see below), whose sum is σ = 16595806500. Its totient is φ = 1126202880.

The previous prime is 4645630439. The next prime is 4645630453. The reversal of 4645630440 is 440365464.

4645630440 is a `hidden beast` number, since 4 + 645 + 6 + 3 + 0 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4417197444 + 228432996 = 66462^2 + 15114^2 .

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 = 4645630395 and 4645630404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9765 + ... + 96884.

Almost surely, 2^4645630440 is an apocalyptic number.

4645630440 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 4645630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297903250).

4645630440 is an abundant number, since it is smaller than the sum of its proper divisors (11950176060).

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

4645630440 is a wasteful number, since it uses less digits than its factorization.

4645630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106688 (or 106670 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4645630440 is about 68158.8617862710. The cubic root of 4645630440 is about 1668.5845560847.

The spelling of 4645630440 in words is "four billion, six hundred forty-five million, six hundred thirty thousand, four hundred forty".