4663905257376 has 144 divisors (see below), whose sum is σ = 13396756824360. Its totient is φ = 1538960025600.

The previous prime is 4663905257357. The next prime is 4663905257393. The reversal of 4663905257376 is 6737525093664.

4663905257376 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 9 + 0 + 5 + 257 + 376 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4656635989776 + 7269267600 = 2157924^2 + 85260^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 209800630 + ... + 209822858.

Almost surely, 2^{4663905257376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4663905257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698378412180).

4663905257376 is an abundant number, since it is smaller than the sum of its proper divisors (8732851566984).

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

4663905257376 is a wasteful number, since it uses less digits than its factorization.

4663905257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29559 (or 29548 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 4663905257376 in words is "four trillion, six hundred sixty-three billion, nine hundred five million, two hundred fifty-seven thousand, three hundred seventy-six".