4786656768000 has 1248 divisors, whose sum is σ = 18158196725760. Its totient is φ = 1257696460800.

The previous prime is 4786656767983. The next prime is 4786656768013. The reversal of 4786656768000 is 8676566874.

4786656768000 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 6 + 567 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9828863757 + ... + 9828864243.

It is an arithmetic number, because the mean of its divisors is an integer number (14549837120).

Almost surely, 2^{4786656768000} is an apocalyptic number.

4786656768000 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 4786656768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079098362880).

4786656768000 is an abundant number, since it is smaller than the sum of its proper divisors (13371539957760).

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

4786656768000 is an frugal number, since it uses more digits than its factorization.

4786656768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4786656768000 in words is "four trillion, seven hundred eighty-six billion, six hundred fifty-six million, seven hundred sixty-eight thousand".