4663064609280 has 2400 divisors, whose sum is σ = 22003586858880. Its totient is φ = 916816527360.

The previous prime is 4663064609233. The next prime is 4663064609297. The reversal of 4663064609280 is 829064603664.

4663064609280 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 0 + 6 + 4 + 609 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5763985516 + ... + 5763986324.

Almost surely, 2^{4663064609280} is an apocalyptic number.

4663064609280 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 4663064609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001793429440).

4663064609280 is an abundant number, since it is smaller than the sum of its proper divisors (17340522249600).

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

4663064609280 is a wasteful number, since it uses less digits than its factorization.

4663064609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4663064609280 in words is "four trillion, six hundred sixty-three billion, sixty-four million, six hundred nine thousand, two hundred eighty".