4565312640 has 192 divisors, whose sum is σ = 18016839360. Its totient is φ = 1043490816.

The previous prime is 4565312629. The next prime is 4565312659. The reversal of 4565312640 is 462135654.

4565312640 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 3 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 4565312595 and 4565312604.

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, 16294 + ... + 96933.

It is an arithmetic number, because the mean of its divisors is an integer number (93837705).

Almost surely, 2^4565312640 is an apocalyptic number.

4565312640 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 4565312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008419680).

4565312640 is an abundant number, since it is smaller than the sum of its proper divisors (13451526720).

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

4565312640 is a wasteful number, since it uses less digits than its factorization.

4565312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113259 (or 113244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4565312640 is about 67567.0973181474. The cubic root of 4565312640 is about 1658.9126086072.

The spelling of 4565312640 in words is "four billion, five hundred sixty-five million, three hundred twelve thousand, six hundred forty".