4825646876160 has 560 divisors, whose sum is σ = 18924547300560. Its totient is φ = 1169848811520.

The previous prime is 4825646876123. The next prime is 4825646876173. The reversal of 4825646876160 is 616786465284.

It is a happy number.

4825646876160 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 6 + 4 + 6 + 8 + 7 + 616 + 0 = 666.

It is a super-3 number, since 3×4825646876160³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20411106 + ... + 20646174.

Almost surely, 2^{4825646876160} is an apocalyptic number.

4825646876160 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 4825646876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462273650280).

4825646876160 is an abundant number, since it is smaller than the sum of its proper divisors (14098900424400).

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

4825646876160 is an equidigital number, since it uses as much as digits as its factorization.

4825646876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235121 (or 235090 counting only the distinct ones).

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

The spelling of 4825646876160 in words is "four trillion, eight hundred twenty-five billion, six hundred forty-six million, eight hundred seventy-six thousand, one hundred sixty".