4676963288640 has 448 divisors, whose sum is σ = 16278697440000. Its totient is φ = 1133130055680.

The previous prime is 4676963288633. The next prime is 4676963288651. The reversal of 4676963288640 is 468823696764.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78785370 + ... + 78844710.

Almost surely, 2^{4676963288640} is an apocalyptic number.

4676963288640 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 4676963288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139348720000).

4676963288640 is an abundant number, since it is smaller than the sum of its proper divisors (11601734151360).

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

4676963288640 is a wasteful number, since it uses less digits than its factorization.

4676963288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59558 (or 59548 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 4676963288640 in words is "four trillion, six hundred seventy-six billion, nine hundred sixty-three million, two hundred eighty-eight thousand, six hundred forty".