4688976263040 has 480 divisors, whose sum is σ = 17788190131800. Its totient is φ = 1176837341184.

The previous prime is 4688976263033. The next prime is 4688976263051. The reversal of 4688976263040 is 403626798864.

4688976263040 is a `hidden beast` number, since 468 + 8 + 9 + 76 + 2 + 63 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14825271 + ... + 15138249.

Almost surely, 2^{4688976263040} is an apocalyptic number.

4688976263040 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 4688976263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894095065900).

4688976263040 is an abundant number, since it is smaller than the sum of its proper divisors (13099213868760).

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

4688976263040 is a wasteful number, since it uses less digits than its factorization.

4688976263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313044 (or 313006 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4688976263040 in words is "four trillion, six hundred eighty-eight billion, nine hundred seventy-six million, two hundred sixty-three thousand, forty".