4560146640 has 640 divisors, whose sum is σ = 19297336320. Its totient is φ = 966131712.

The previous prime is 4560146629. The next prime is 4560146677. The reversal of 4560146640 is 466410654.

4560146640 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 1 + 4 + 6 + 640 = 666.

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 = 4560146595 and 4560146604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29045442 + ... + 29045598.

It is an arithmetic number, because the mean of its divisors is an integer number (30152088).

Almost surely, 2^4560146640 is an apocalyptic number.

4560146640 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 4560146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648668160).

4560146640 is an abundant number, since it is smaller than the sum of its proper divisors (14737189680).

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

4560146640 is a wasteful number, since it uses less digits than its factorization.

4560146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4560146640 is about 67528.8578313005. The cubic root of 4560146640 is about 1658.2866436580.

The spelling of 4560146640 in words is "four billion, five hundred sixty million, one hundred forty-six thousand, six hundred forty".