4907670768000 has 4608 divisors, whose sum is σ = 24929556986880. Its totient is φ = 931627008000.

The previous prime is 4907670767947. The next prime is 4907670768001. The reversal of 4907670768000 is 8670767094.

4907670768000 is a `hidden beast` number, since 490 + 7 + 6 + 7 + 0 + 76 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4907670768001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 50594543952 + ... + 50594544048.

It is an arithmetic number, because the mean of its divisors is an integer number (5410060110).

Almost surely, 2^{4907670768000} is an apocalyptic number.

4907670768000 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 4907670768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464778493440).

4907670768000 is an abundant number, since it is smaller than the sum of its proper divisors (20021886218880).

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

4907670768000 is a wasteful number, since it uses less digits than its factorization.

4907670768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 4907670768000 in words is "four trillion, nine hundred seven billion, six hundred seventy million, seven hundred sixty-eight thousand".