4960825744680 has 384 divisors, whose sum is σ = 18011915550720. Its totient is φ = 1220722513920.

The previous prime is 4960825744669. The next prime is 4960825744687. The reversal of 4960825744680 is 864475280694.

4960825744680 is a `hidden beast` number, since 4 + 9 + 60 + 8 + 2 + 57 + 446 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (4960825744687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605639385 + ... + 605647575.

It is an arithmetic number, because the mean of its divisors is an integer number (46906030080).

Almost surely, 2^{4960825744680} is an apocalyptic number.

4960825744680 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 4960825744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005957775360).

4960825744680 is an abundant number, since it is smaller than the sum of its proper divisors (13051089806040).

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

4960825744680 is a wasteful number, since it uses less digits than its factorization.

4960825744680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13023 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4960825744680 in words is "four trillion, nine hundred sixty billion, eight hundred twenty-five million, seven hundred forty-four thousand, six hundred eighty".